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Finding the Fourth Proportional to 6,747.82, 9,307.44 and 5,862.10

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Solution

The fourth proportional to 6,747.82, 9,307.44 and 5,862.10 is: 8,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.82 : 9,307.44 = 5,862.10 : x
  2. Step 2: Convert to fraction form
    6,747.82/9,307.44 = 5,862.10/x
  3. Step 3: Cross multiply
    6,747.82x = 9,307.44 × 5,862.10
  4. Step 4: Simplify right side
    6,747.82x = 54,561,144.02
  5. Step 5: Solve for x
    x = 54,561,144.02/6,747.82
  6. Step 6: Final answer
    x = 8,085.74

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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.