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Finding the Fourth Proportional to 9,562.40, 14,339.28 and 3,406.56

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Solution

The fourth proportional to 9,562.40, 14,339.28 and 3,406.56 is: 5,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.40 : 14,339.28 = 3,406.56 : x
  2. Step 2: Convert to fraction form
    9,562.40/14,339.28 = 3,406.56/x
  3. Step 3: Cross multiply
    9,562.40x = 14,339.28 × 3,406.56
  4. Step 4: Simplify right side
    9,562.40x = 48,847,617.68
  5. Step 5: Solve for x
    x = 48,847,617.68/9,562.40
  6. Step 6: Final answer
    x = 5,108.30

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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.