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Finding the Fourth Proportional to 10,035.20, 13,860.24 and 9,452

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Solution

The fourth proportional to 10,035.20, 13,860.24 and 9,452 is: 13,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.20 : 13,860.24 = 9,452 : x
  2. Step 2: Convert to fraction form
    10,035.20/13,860.24 = 9,452/x
  3. Step 3: Cross multiply
    10,035.20x = 13,860.24 × 9,452
  4. Step 4: Simplify right side
    10,035.20x = 131,006,988.48
  5. Step 5: Solve for x
    x = 131,006,988.48/10,035.20
  6. Step 6: Final answer
    x = 13,054.75

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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.