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Finding the Fourth Proportional to 7,002.02, 9,672.03 and 5,188.73

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Solution

The fourth proportional to 7,002.02, 9,672.03 and 5,188.73 is: 7,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.02 : 9,672.03 = 5,188.73 : x
  2. Step 2: Convert to fraction form
    7,002.02/9,672.03 = 5,188.73/x
  3. Step 3: Cross multiply
    7,002.02x = 9,672.03 × 5,188.73
  4. Step 4: Simplify right side
    7,002.02x = 50,185,526.28
  5. Step 5: Solve for x
    x = 50,185,526.28/7,002.02
  6. Step 6: Final answer
    x = 7,167.30

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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.