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Finding the Fourth Proportional to 10,002.57, 15,003.99 and 9,393.72

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Solution

The fourth proportional to 10,002.57, 15,003.99 and 9,393.72 is: 14,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.57 : 15,003.99 = 9,393.72 : x
  2. Step 2: Convert to fraction form
    10,002.57/15,003.99 = 9,393.72/x
  3. Step 3: Cross multiply
    10,002.57x = 15,003.99 × 9,393.72
  4. Step 4: Simplify right side
    10,002.57x = 140,943,280.94
  5. Step 5: Solve for x
    x = 140,943,280.94/10,002.57
  6. Step 6: Final answer
    x = 14,090.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.