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Finding the Fourth Proportional to 9,854.31, 14,785.53 and 5,466.54

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Solution

The fourth proportional to 9,854.31, 14,785.53 and 5,466.54 is: 8,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.31 : 14,785.53 = 5,466.54 : x
  2. Step 2: Convert to fraction form
    9,854.31/14,785.53 = 5,466.54/x
  3. Step 3: Cross multiply
    9,854.31x = 14,785.53 × 5,466.54
  4. Step 4: Simplify right side
    9,854.31x = 80,825,691.17
  5. Step 5: Solve for x
    x = 80,825,691.17/9,854.31
  6. Step 6: Final answer
    x = 8,202.07

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