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Finding the Fourth Proportional to 10,128.55, 15,169.33 and 9,778.14

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Solution

The fourth proportional to 10,128.55, 15,169.33 and 9,778.14 is: 14,644.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128.55 : 15,169.33 = 9,778.14 : x
  2. Step 2: Convert to fraction form
    10,128.55/15,169.33 = 9,778.14/x
  3. Step 3: Cross multiply
    10,128.55x = 15,169.33 × 9,778.14
  4. Step 4: Simplify right side
    10,128.55x = 148,327,832.45
  5. Step 5: Solve for x
    x = 148,327,832.45/10,128.55
  6. Step 6: Final answer
    x = 14,644.53

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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.