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Finding the Fourth Proportional to 7,002.47, 9,663.28 and 3,815.79

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Solution

The fourth proportional to 7,002.47, 9,663.28 and 3,815.79 is: 5,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.47 : 9,663.28 = 3,815.79 : x
  2. Step 2: Convert to fraction form
    7,002.47/9,663.28 = 3,815.79/x
  3. Step 3: Cross multiply
    7,002.47x = 9,663.28 × 3,815.79
  4. Step 4: Simplify right side
    7,002.47x = 36,873,071.35
  5. Step 5: Solve for x
    x = 36,873,071.35/7,002.47
  6. Step 6: Final answer
    x = 5,265.73

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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.