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Finding the Fourth Proportional to 9,385.53, 14,062.49 and 5,676.47

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Solution

The fourth proportional to 9,385.53, 14,062.49 and 5,676.47 is: 8,505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.53 : 14,062.49 = 5,676.47 : x
  2. Step 2: Convert to fraction form
    9,385.53/14,062.49 = 5,676.47/x
  3. Step 3: Cross multiply
    9,385.53x = 14,062.49 × 5,676.47
  4. Step 4: Simplify right side
    9,385.53x = 79,825,302.61
  5. Step 5: Solve for x
    x = 79,825,302.61/9,385.53
  6. Step 6: Final answer
    x = 8,505.15

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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.