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Finding the Fourth Proportional to 7,001.93, 9,658.38 and 4,167.41

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Solution

The fourth proportional to 7,001.93, 9,658.38 and 4,167.41 is: 5,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.93 : 9,658.38 = 4,167.41 : x
  2. Step 2: Convert to fraction form
    7,001.93/9,658.38 = 4,167.41/x
  3. Step 3: Cross multiply
    7,001.93x = 9,658.38 × 4,167.41
  4. Step 4: Simplify right side
    7,001.93x = 40,250,381.10
  5. Step 5: Solve for x
    x = 40,250,381.10/7,001.93
  6. Step 6: Final answer
    x = 5,748.47

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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.