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Finding the Fourth Proportional to 9,977.70, 14,964.45 and 5,042.70

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Solution

The fourth proportional to 9,977.70, 14,964.45 and 5,042.70 is: 7,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.70 : 14,964.45 = 5,042.70 : x
  2. Step 2: Convert to fraction form
    9,977.70/14,964.45 = 5,042.70/x
  3. Step 3: Cross multiply
    9,977.70x = 14,964.45 × 5,042.70
  4. Step 4: Simplify right side
    9,977.70x = 75,461,232.02
  5. Step 5: Solve for x
    x = 75,461,232.02/9,977.70
  6. Step 6: Final answer
    x = 7,562.99

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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.