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Finding the Fourth Proportional to 7,071.62, 9,756.18 and 4,381.61

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Solution

The fourth proportional to 7,071.62, 9,756.18 and 4,381.61 is: 6,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.62 : 9,756.18 = 4,381.61 : x
  2. Step 2: Convert to fraction form
    7,071.62/9,756.18 = 4,381.61/x
  3. Step 3: Cross multiply
    7,071.62x = 9,756.18 × 4,381.61
  4. Step 4: Simplify right side
    7,071.62x = 42,747,727.07
  5. Step 5: Solve for x
    x = 42,747,727.07/7,071.62
  6. Step 6: Final answer
    x = 6,044.97

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