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Finding the Fourth Proportional to 6,743.90, 9,301.59 and 4,471.13

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Solution

The fourth proportional to 6,743.90, 9,301.59 and 4,471.13 is: 6,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.90 : 9,301.59 = 4,471.13 : x
  2. Step 2: Convert to fraction form
    6,743.90/9,301.59 = 4,471.13/x
  3. Step 3: Cross multiply
    6,743.90x = 9,301.59 × 4,471.13
  4. Step 4: Simplify right side
    6,743.90x = 41,588,641.35
  5. Step 5: Solve for x
    x = 41,588,641.35/6,743.90
  6. Step 6: Final answer
    x = 6,166.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.