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Finding the Fourth Proportional to 6,290.96, 9,432.78 and 2,129.58

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Solution

The fourth proportional to 6,290.96, 9,432.78 and 2,129.58 is: 3,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.96 : 9,432.78 = 2,129.58 : x
  2. Step 2: Convert to fraction form
    6,290.96/9,432.78 = 2,129.58/x
  3. Step 3: Cross multiply
    6,290.96x = 9,432.78 × 2,129.58
  4. Step 4: Simplify right side
    6,290.96x = 20,087,859.63
  5. Step 5: Solve for x
    x = 20,087,859.63/6,290.96
  6. Step 6: Final answer
    x = 3,193.13

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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.