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Finding the Fourth Proportional to 9,348.56, 14,022.72 and 5,405.75

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Solution

The fourth proportional to 9,348.56, 14,022.72 and 5,405.75 is: 8,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.56 : 14,022.72 = 5,405.75 : x
  2. Step 2: Convert to fraction form
    9,348.56/14,022.72 = 5,405.75/x
  3. Step 3: Cross multiply
    9,348.56x = 14,022.72 × 5,405.75
  4. Step 4: Simplify right side
    9,348.56x = 75,803,248.53
  5. Step 5: Solve for x
    x = 75,803,248.53/9,348.56
  6. Step 6: Final answer
    x = 8,108.55

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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.