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Finding the Fourth Proportional to 9,725.88, 14,565.43 and 5,553.24

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Solution

The fourth proportional to 9,725.88, 14,565.43 and 5,553.24 is: 8,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.88 : 14,565.43 = 5,553.24 : x
  2. Step 2: Convert to fraction form
    9,725.88/14,565.43 = 5,553.24/x
  3. Step 3: Cross multiply
    9,725.88x = 14,565.43 × 5,553.24
  4. Step 4: Simplify right side
    9,725.88x = 80,885,328.49
  5. Step 5: Solve for x
    x = 80,885,328.49/9,725.88
  6. Step 6: Final answer
    x = 8,316.50

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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.