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Finding the Fourth Proportional to 9,434.55, 14,151.77 and 2,414.55

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Solution

The fourth proportional to 9,434.55, 14,151.77 and 2,414.55 is: 3,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.55 : 14,151.77 = 2,414.55 : x
  2. Step 2: Convert to fraction form
    9,434.55/14,151.77 = 2,414.55/x
  3. Step 3: Cross multiply
    9,434.55x = 14,151.77 × 2,414.55
  4. Step 4: Simplify right side
    9,434.55x = 34,170,156.25
  5. Step 5: Solve for x
    x = 34,170,156.25/9,434.55
  6. Step 6: Final answer
    x = 3,621.81

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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.