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Finding the Fourth Proportional to 7,002.72, 9,663.66 and 3,858.90

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Solution

The fourth proportional to 7,002.72, 9,663.66 and 3,858.90 is: 5,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.72 : 9,663.66 = 3,858.90 : x
  2. Step 2: Convert to fraction form
    7,002.72/9,663.66 = 3,858.90/x
  3. Step 3: Cross multiply
    7,002.72x = 9,663.66 × 3,858.90
  4. Step 4: Simplify right side
    7,002.72x = 37,291,097.57
  5. Step 5: Solve for x
    x = 37,291,097.57/7,002.72
  6. Step 6: Final answer
    x = 5,325.23

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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.