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Finding the Fourth Proportional to 9,524.67, 13,139.57 and 5,985.38

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Solution

The fourth proportional to 9,524.67, 13,139.57 and 5,985.38 is: 8,257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.67 : 13,139.57 = 5,985.38 : x
  2. Step 2: Convert to fraction form
    9,524.67/13,139.57 = 5,985.38/x
  3. Step 3: Cross multiply
    9,524.67x = 13,139.57 × 5,985.38
  4. Step 4: Simplify right side
    9,524.67x = 78,645,223.86
  5. Step 5: Solve for x
    x = 78,645,223.86/9,524.67
  6. Step 6: Final answer
    x = 8,257.00

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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.