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Finding the Fourth Proportional to 6,262.71, 9,394.47 and 2,102.55

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Solution

The fourth proportional to 6,262.71, 9,394.47 and 2,102.55 is: 3,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.71 : 9,394.47 = 2,102.55 : x
  2. Step 2: Convert to fraction form
    6,262.71/9,394.47 = 2,102.55/x
  3. Step 3: Cross multiply
    6,262.71x = 9,394.47 × 2,102.55
  4. Step 4: Simplify right side
    6,262.71x = 19,752,342.90
  5. Step 5: Solve for x
    x = 19,752,342.90/6,262.71
  6. Step 6: Final answer
    x = 3,153.96

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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.