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Finding the Fourth Proportional to 9,077.70, 13,627.35 and 5,132.10

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Solution

The fourth proportional to 9,077.70, 13,627.35 and 5,132.10 is: 7,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.70 : 13,627.35 = 5,132.10 : x
  2. Step 2: Convert to fraction form
    9,077.70/13,627.35 = 5,132.10/x
  3. Step 3: Cross multiply
    9,077.70x = 13,627.35 × 5,132.10
  4. Step 4: Simplify right side
    9,077.70x = 69,936,922.94
  5. Step 5: Solve for x
    x = 69,936,922.94/9,077.70
  6. Step 6: Final answer
    x = 7,704.26

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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.