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Finding the Fourth Proportional to 9,232.71, 12,740.98 and 5,253.74

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Solution

The fourth proportional to 9,232.71, 12,740.98 and 5,253.74 is: 7,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.71 : 12,740.98 = 5,253.74 : x
  2. Step 2: Convert to fraction form
    9,232.71/12,740.98 = 5,253.74/x
  3. Step 3: Cross multiply
    9,232.71x = 12,740.98 × 5,253.74
  4. Step 4: Simplify right side
    9,232.71x = 66,937,777.06
  5. Step 5: Solve for x
    x = 66,937,777.06/9,232.71
  6. Step 6: Final answer
    x = 7,250.07

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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.