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Finding the Fourth Proportional to 9,146.55, 13,722.71 and 5,452.95

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Solution

The fourth proportional to 9,146.55, 13,722.71 and 5,452.95 is: 8,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.55 : 13,722.71 = 5,452.95 : x
  2. Step 2: Convert to fraction form
    9,146.55/13,722.71 = 5,452.95/x
  3. Step 3: Cross multiply
    9,146.55x = 13,722.71 × 5,452.95
  4. Step 4: Simplify right side
    9,146.55x = 74,829,224.23
  5. Step 5: Solve for x
    x = 74,829,224.23/9,146.55
  6. Step 6: Final answer
    x = 8,181.14

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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.