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Finding the Fourth Proportional to 6,013.65, 9,060.57 and 5,429.31

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Solution

The fourth proportional to 6,013.65, 9,060.57 and 5,429.31 is: 8,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.65 : 9,060.57 = 5,429.31 : x
  2. Step 2: Convert to fraction form
    6,013.65/9,060.57 = 5,429.31/x
  3. Step 3: Cross multiply
    6,013.65x = 9,060.57 × 5,429.31
  4. Step 4: Simplify right side
    6,013.65x = 49,192,643.31
  5. Step 5: Solve for x
    x = 49,192,643.31/6,013.65
  6. Step 6: Final answer
    x = 8,180.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.