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Finding the Fourth Proportional to 9,686.92, 14,512.05 and 5,726.32

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Solution

The fourth proportional to 9,686.92, 14,512.05 and 5,726.32 is: 8,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.92 : 14,512.05 = 5,726.32 : x
  2. Step 2: Convert to fraction form
    9,686.92/14,512.05 = 5,726.32/x
  3. Step 3: Cross multiply
    9,686.92x = 14,512.05 × 5,726.32
  4. Step 4: Simplify right side
    9,686.92x = 83,100,642.16
  5. Step 5: Solve for x
    x = 83,100,642.16/9,686.92
  6. Step 6: Final answer
    x = 8,578.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.