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Finding the Fourth Proportional to 9,242.92, 12,755.21 and 5,264.03

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Solution

The fourth proportional to 9,242.92, 12,755.21 and 5,264.03 is: 7,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.92 : 12,755.21 = 5,264.03 : x
  2. Step 2: Convert to fraction form
    9,242.92/12,755.21 = 5,264.03/x
  3. Step 3: Cross multiply
    9,242.92x = 12,755.21 × 5,264.03
  4. Step 4: Simplify right side
    9,242.92x = 67,143,808.10
  5. Step 5: Solve for x
    x = 67,143,808.10/9,242.92
  6. Step 6: Final answer
    x = 7,264.35

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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.