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Finding the Fourth Proportional to 9,377.72, 14,071.47 and 6,801.92

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Solution

The fourth proportional to 9,377.72, 14,071.47 and 6,801.92 is: 10,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.72 : 14,071.47 = 6,801.92 : x
  2. Step 2: Convert to fraction form
    9,377.72/14,071.47 = 6,801.92/x
  3. Step 3: Cross multiply
    9,377.72x = 14,071.47 × 6,801.92
  4. Step 4: Simplify right side
    9,377.72x = 95,713,013.22
  5. Step 5: Solve for x
    x = 95,713,013.22/9,377.72
  6. Step 6: Final answer
    x = 10,206.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.