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Finding the Fourth Proportional to 6,262.90, 9,382.47 and 3,342.58

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Solution

The fourth proportional to 6,262.90, 9,382.47 and 3,342.58 is: 5,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.90 : 9,382.47 = 3,342.58 : x
  2. Step 2: Convert to fraction form
    6,262.90/9,382.47 = 3,342.58/x
  3. Step 3: Cross multiply
    6,262.90x = 9,382.47 × 3,342.58
  4. Step 4: Simplify right side
    6,262.90x = 31,361,656.57
  5. Step 5: Solve for x
    x = 31,361,656.57/6,262.90
  6. Step 6: Final answer
    x = 5,007.53

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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.