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Finding the Fourth Proportional to 9,626.40, 14,439.40 and 4,432.28

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Solution

The fourth proportional to 9,626.40, 14,439.40 and 4,432.28 is: 6,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.40 : 14,439.40 = 4,432.28 : x
  2. Step 2: Convert to fraction form
    9,626.40/14,439.40 = 4,432.28/x
  3. Step 3: Cross multiply
    9,626.40x = 14,439.40 × 4,432.28
  4. Step 4: Simplify right side
    9,626.40x = 63,999,380.55
  5. Step 5: Solve for x
    x = 63,999,380.55/9,626.40
  6. Step 6: Final answer
    x = 6,648.32

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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.