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Finding the Fourth Proportional to 9,024.75, 12,457.80 and 7,760.70

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Solution

The fourth proportional to 9,024.75, 12,457.80 and 7,760.70 is: 10,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.75 : 12,457.80 = 7,760.70 : x
  2. Step 2: Convert to fraction form
    9,024.75/12,457.80 = 7,760.70/x
  3. Step 3: Cross multiply
    9,024.75x = 12,457.80 × 7,760.70
  4. Step 4: Simplify right side
    9,024.75x = 96,681,248.46
  5. Step 5: Solve for x
    x = 96,681,248.46/9,024.75
  6. Step 6: Final answer
    x = 10,712.90

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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.