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Finding the Fourth Proportional to 6,304.74, 9,452.09 and 4,085.84

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Solution

The fourth proportional to 6,304.74, 9,452.09 and 4,085.84 is: 6,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.74 : 9,452.09 = 4,085.84 : x
  2. Step 2: Convert to fraction form
    6,304.74/9,452.09 = 4,085.84/x
  3. Step 3: Cross multiply
    6,304.74x = 9,452.09 × 4,085.84
  4. Step 4: Simplify right side
    6,304.74x = 38,619,761.25
  5. Step 5: Solve for x
    x = 38,619,761.25/6,304.74
  6. Step 6: Final answer
    x = 6,125.52

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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.