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Finding the Fourth Proportional to 9,306.60, 13,854.36 and 9,257.32

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Solution

The fourth proportional to 9,306.60, 13,854.36 and 9,257.32 is: 13,781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.60 : 13,854.36 = 9,257.32 : x
  2. Step 2: Convert to fraction form
    9,306.60/13,854.36 = 9,257.32/x
  3. Step 3: Cross multiply
    9,306.60x = 13,854.36 × 9,257.32
  4. Step 4: Simplify right side
    9,306.60x = 128,254,243.92
  5. Step 5: Solve for x
    x = 128,254,243.92/9,306.60
  6. Step 6: Final answer
    x = 13,781.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.