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Finding the Fourth Proportional to 7,002.62, 9,663.23 and 4,349.97

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Solution

The fourth proportional to 7,002.62, 9,663.23 and 4,349.97 is: 6,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.62 : 9,663.23 = 4,349.97 : x
  2. Step 2: Convert to fraction form
    7,002.62/9,663.23 = 4,349.97/x
  3. Step 3: Cross multiply
    7,002.62x = 9,663.23 × 4,349.97
  4. Step 4: Simplify right side
    7,002.62x = 42,034,771.48
  5. Step 5: Solve for x
    x = 42,034,771.48/7,002.62
  6. Step 6: Final answer
    x = 6,002.72

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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.