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Finding the Fourth Proportional to 9,648,782.14, 13,310,293.44 and 7,815,310.70

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Solution

The fourth proportional to 9,648,782.14, 13,310,293.44 and 7,815,310.70 is: 10,781,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648,782.14 : 13,310,293.44 = 7,815,310.70 : x
  2. Step 2: Convert to fraction form
    9,648,782.14/13,310,293.44 = 7,815,310.70/x
  3. Step 3: Cross multiply
    9,648,782.14x = 13,310,293.44 × 7,815,310.70
  4. Step 4: Simplify right side
    9,648,782.14x = 104,024,078,741,771.81
  5. Step 5: Solve for x
    x = 104,024,078,741,771.81/9,648,782.14
  6. Step 6: Final answer
    x = 10,781,057.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.