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Finding the Fourth Proportional to 10,089.36, 15,143.76 and 9,452.70

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Solution

The fourth proportional to 10,089.36, 15,143.76 and 9,452.70 is: 14,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.36 : 15,143.76 = 9,452.70 : x
  2. Step 2: Convert to fraction form
    10,089.36/15,143.76 = 9,452.70/x
  3. Step 3: Cross multiply
    10,089.36x = 15,143.76 × 9,452.70
  4. Step 4: Simplify right side
    10,089.36x = 143,149,420.15
  5. Step 5: Solve for x
    x = 143,149,420.15/10,089.36
  6. Step 6: Final answer
    x = 14,188.16

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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.