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Finding the Fourth Proportional to 9,248.85, 12,761.91 and 5,713.20

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Solution

The fourth proportional to 9,248.85, 12,761.91 and 5,713.20 is: 7,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.85 : 12,761.91 = 5,713.20 : x
  2. Step 2: Convert to fraction form
    9,248.85/12,761.91 = 5,713.20/x
  3. Step 3: Cross multiply
    9,248.85x = 12,761.91 × 5,713.20
  4. Step 4: Simplify right side
    9,248.85x = 72,911,344.21
  5. Step 5: Solve for x
    x = 72,911,344.21/9,248.85
  6. Step 6: Final answer
    x = 7,883.29

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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.