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Finding the Fourth Proportional to 9,565.92, 14,250.06 and 8,960.40

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Solution

The fourth proportional to 9,565.92, 14,250.06 and 8,960.40 is: 13,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.92 : 14,250.06 = 8,960.40 : x
  2. Step 2: Convert to fraction form
    9,565.92/14,250.06 = 8,960.40/x
  3. Step 3: Cross multiply
    9,565.92x = 14,250.06 × 8,960.40
  4. Step 4: Simplify right side
    9,565.92x = 127,686,237.62
  5. Step 5: Solve for x
    x = 127,686,237.62/9,565.92
  6. Step 6: Final answer
    x = 13,348.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.