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Finding the Fourth Proportional to 9,489.53, 14,233.86 and 3,250.10

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Solution

The fourth proportional to 9,489.53, 14,233.86 and 3,250.10 is: 4,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.53 : 14,233.86 = 3,250.10 : x
  2. Step 2: Convert to fraction form
    9,489.53/14,233.86 = 3,250.10/x
  3. Step 3: Cross multiply
    9,489.53x = 14,233.86 × 3,250.10
  4. Step 4: Simplify right side
    9,489.53x = 46,261,397.22
  5. Step 5: Solve for x
    x = 46,261,397.22/9,489.53
  6. Step 6: Final answer
    x = 4,875.00

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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.