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Finding the Fourth Proportional to 9,125.91, 12,578.94 and 7,132.95

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Solution

The fourth proportional to 9,125.91, 12,578.94 and 7,132.95 is: 9,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.91 : 12,578.94 = 7,132.95 : x
  2. Step 2: Convert to fraction form
    9,125.91/12,578.94 = 7,132.95/x
  3. Step 3: Cross multiply
    9,125.91x = 12,578.94 × 7,132.95
  4. Step 4: Simplify right side
    9,125.91x = 89,724,950.07
  5. Step 5: Solve for x
    x = 89,724,950.07/9,125.91
  6. Step 6: Final answer
    x = 9,831.89

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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.