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Finding the Fourth Proportional to 9,296.32, 13,941.76 and 3,452

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Solution

The fourth proportional to 9,296.32, 13,941.76 and 3,452 is: 5,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.32 : 13,941.76 = 3,452 : x
  2. Step 2: Convert to fraction form
    9,296.32/13,941.76 = 3,452/x
  3. Step 3: Cross multiply
    9,296.32x = 13,941.76 × 3,452
  4. Step 4: Simplify right side
    9,296.32x = 48,126,955.52
  5. Step 5: Solve for x
    x = 48,126,955.52/9,296.32
  6. Step 6: Final answer
    x = 5,176.99

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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.