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Finding the Fourth Proportional to 7,002.33, 9,663.09 and 3,815.64

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Solution

The fourth proportional to 7,002.33, 9,663.09 and 3,815.64 is: 5,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.33 : 9,663.09 = 3,815.64 : x
  2. Step 2: Convert to fraction form
    7,002.33/9,663.09 = 3,815.64/x
  3. Step 3: Cross multiply
    7,002.33x = 9,663.09 × 3,815.64
  4. Step 4: Simplify right side
    7,002.33x = 36,870,909.92
  5. Step 5: Solve for x
    x = 36,870,909.92/7,002.33
  6. Step 6: Final answer
    x = 5,265.52

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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.