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Finding the Fourth Proportional to 9,240.92, 12,753.50 and 5,261.40

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Solution

The fourth proportional to 9,240.92, 12,753.50 and 5,261.40 is: 7,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.92 : 12,753.50 = 5,261.40 : x
  2. Step 2: Convert to fraction form
    9,240.92/12,753.50 = 5,261.40/x
  3. Step 3: Cross multiply
    9,240.92x = 12,753.50 × 5,261.40
  4. Step 4: Simplify right side
    9,240.92x = 67,101,264.90
  5. Step 5: Solve for x
    x = 67,101,264.90/9,240.92
  6. Step 6: Final answer
    x = 7,261.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.