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Finding the Fourth Proportional to 6,391.65, 9,541.84 and 5,407.23

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Solution

The fourth proportional to 6,391.65, 9,541.84 and 5,407.23 is: 8,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.65 : 9,541.84 = 5,407.23 : x
  2. Step 2: Convert to fraction form
    6,391.65/9,541.84 = 5,407.23/x
  3. Step 3: Cross multiply
    6,391.65x = 9,541.84 × 5,407.23
  4. Step 4: Simplify right side
    6,391.65x = 51,594,909.99
  5. Step 5: Solve for x
    x = 51,594,909.99/6,391.65
  6. Step 6: Final answer
    x = 8,072.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.