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Finding the Fourth Proportional to 9,114.16, 13,671.24 and 6,035.44

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Solution

The fourth proportional to 9,114.16, 13,671.24 and 6,035.44 is: 9,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.16 : 13,671.24 = 6,035.44 : x
  2. Step 2: Convert to fraction form
    9,114.16/13,671.24 = 6,035.44/x
  3. Step 3: Cross multiply
    9,114.16x = 13,671.24 × 6,035.44
  4. Step 4: Simplify right side
    9,114.16x = 82,511,948.75
  5. Step 5: Solve for x
    x = 82,511,948.75/9,114.16
  6. Step 6: Final answer
    x = 9,053.16

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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.