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Finding the Fourth Proportional to 9,057.90, 13,576.51 and 4,116.49

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Solution

The fourth proportional to 9,057.90, 13,576.51 and 4,116.49 is: 6,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.90 : 13,576.51 = 4,116.49 : x
  2. Step 2: Convert to fraction form
    9,057.90/13,576.51 = 4,116.49/x
  3. Step 3: Cross multiply
    9,057.90x = 13,576.51 × 4,116.49
  4. Step 4: Simplify right side
    9,057.90x = 55,887,567.65
  5. Step 5: Solve for x
    x = 55,887,567.65/9,057.90
  6. Step 6: Final answer
    x = 6,170.04

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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.