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Finding the Fourth Proportional to 9,489.17, 13,092.50 and 6,130.76

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Solution

The fourth proportional to 9,489.17, 13,092.50 and 6,130.76 is: 8,458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.17 : 13,092.50 = 6,130.76 : x
  2. Step 2: Convert to fraction form
    9,489.17/13,092.50 = 6,130.76/x
  3. Step 3: Cross multiply
    9,489.17x = 13,092.50 × 6,130.76
  4. Step 4: Simplify right side
    9,489.17x = 80,266,879.18
  5. Step 5: Solve for x
    x = 80,266,879.18/9,489.17
  6. Step 6: Final answer
    x = 8,458.79

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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.