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Finding the Fourth Proportional to 9,726.14, 14,565.82 and 5,553.50

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Solution

The fourth proportional to 9,726.14, 14,565.82 and 5,553.50 is: 8,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.14 : 14,565.82 = 5,553.50 : x
  2. Step 2: Convert to fraction form
    9,726.14/14,565.82 = 5,553.50/x
  3. Step 3: Cross multiply
    9,726.14x = 14,565.82 × 5,553.50
  4. Step 4: Simplify right side
    9,726.14x = 80,891,281.37
  5. Step 5: Solve for x
    x = 80,891,281.37/9,726.14
  6. Step 6: Final answer
    x = 8,316.89

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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.