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Finding the Fourth Proportional to 9,545.64, 14,323.28 and 8,823.92

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Solution

The fourth proportional to 9,545.64, 14,323.28 and 8,823.92 is: 13,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.64 : 14,323.28 = 8,823.92 : x
  2. Step 2: Convert to fraction form
    9,545.64/14,323.28 = 8,823.92/x
  3. Step 3: Cross multiply
    9,545.64x = 14,323.28 × 8,823.92
  4. Step 4: Simplify right side
    9,545.64x = 126,387,476.86
  5. Step 5: Solve for x
    x = 126,387,476.86/9,545.64
  6. Step 6: Final answer
    x = 13,240.34

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1.5x scale

Why These Related Problems?

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