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Finding the Fourth Proportional to 6,130.44, 9,193.95 and 2,432.61

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Solution

The fourth proportional to 6,130.44, 9,193.95 and 2,432.61 is: 3,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.44 : 9,193.95 = 2,432.61 : x
  2. Step 2: Convert to fraction form
    6,130.44/9,193.95 = 2,432.61/x
  3. Step 3: Cross multiply
    6,130.44x = 9,193.95 × 2,432.61
  4. Step 4: Simplify right side
    6,130.44x = 22,365,294.71
  5. Step 5: Solve for x
    x = 22,365,294.71/6,130.44
  6. Step 6: Final answer
    x = 3,648.24

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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.