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Finding the Fourth Proportional to 9,659,318.70, 14,488,978.05 and 6,982,430.70

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Solution

The fourth proportional to 9,659,318.70, 14,488,978.05 and 6,982,430.70 is: 10,473,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,318.70 : 14,488,978.05 = 6,982,430.70 : x
  2. Step 2: Convert to fraction form
    9,659,318.70/14,488,978.05 = 6,982,430.70/x
  3. Step 3: Cross multiply
    9,659,318.70x = 14,488,978.05 × 6,982,430.70
  4. Step 4: Simplify right side
    9,659,318.70x = 101,168,285,147,946.14
  5. Step 5: Solve for x
    x = 101,168,285,147,946.14/9,659,318.70
  6. Step 6: Final answer
    x = 10,473,646.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.