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Finding the Fourth Proportional to 9,126.25, 12,601.89 and 6,151.93

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Solution

The fourth proportional to 9,126.25, 12,601.89 and 6,151.93 is: 8,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.25 : 12,601.89 = 6,151.93 : x
  2. Step 2: Convert to fraction form
    9,126.25/12,601.89 = 6,151.93/x
  3. Step 3: Cross multiply
    9,126.25x = 12,601.89 × 6,151.93
  4. Step 4: Simplify right side
    9,126.25x = 77,525,945.15
  5. Step 5: Solve for x
    x = 77,525,945.15/9,126.25
  6. Step 6: Final answer
    x = 8,494.83

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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.