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Finding the Fourth Proportional to 9,562.28, 14,348.22 and 3,406.76

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Solution

The fourth proportional to 9,562.28, 14,348.22 and 3,406.76 is: 5,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.28 : 14,348.22 = 3,406.76 : x
  2. Step 2: Convert to fraction form
    9,562.28/14,348.22 = 3,406.76/x
  3. Step 3: Cross multiply
    9,562.28x = 14,348.22 × 3,406.76
  4. Step 4: Simplify right side
    9,562.28x = 48,880,941.97
  5. Step 5: Solve for x
    x = 48,880,941.97/9,562.28
  6. Step 6: Final answer
    x = 5,111.85

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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.