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Finding the Fourth Proportional to 9,078.86, 12,521.30 and 7,665.82

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Solution

The fourth proportional to 9,078.86, 12,521.30 and 7,665.82 is: 10,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.86 : 12,521.30 = 7,665.82 : x
  2. Step 2: Convert to fraction form
    9,078.86/12,521.30 = 7,665.82/x
  3. Step 3: Cross multiply
    9,078.86x = 12,521.30 × 7,665.82
  4. Step 4: Simplify right side
    9,078.86x = 95,986,031.97
  5. Step 5: Solve for x
    x = 95,986,031.97/9,078.86
  6. Step 6: Final answer
    x = 10,572.48

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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.