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Finding the Fourth Proportional to 9,882.84, 13,632.38 and 6,525.66

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Solution

The fourth proportional to 9,882.84, 13,632.38 and 6,525.66 is: 9,001.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.84 : 13,632.38 = 6,525.66 : x
  2. Step 2: Convert to fraction form
    9,882.84/13,632.38 = 6,525.66/x
  3. Step 3: Cross multiply
    9,882.84x = 13,632.38 × 6,525.66
  4. Step 4: Simplify right side
    9,882.84x = 88,960,276.87
  5. Step 5: Solve for x
    x = 88,960,276.87/9,882.84
  6. Step 6: Final answer
    x = 9,001.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.