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Finding the Fourth Proportional to 9,854.43, 14,785.14 and 6,152.37

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Solution

The fourth proportional to 9,854.43, 14,785.14 and 6,152.37 is: 9,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.43 : 14,785.14 = 6,152.37 : x
  2. Step 2: Convert to fraction form
    9,854.43/14,785.14 = 6,152.37/x
  3. Step 3: Cross multiply
    9,854.43x = 14,785.14 × 6,152.37
  4. Step 4: Simplify right side
    9,854.43x = 90,963,651.78
  5. Step 5: Solve for x
    x = 90,963,651.78/9,854.43
  6. Step 6: Final answer
    x = 9,230.74

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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.