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Finding the Fourth Proportional to 9,747.42, 14,621.14 and 5,584.54

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Solution

The fourth proportional to 9,747.42, 14,621.14 and 5,584.54 is: 8,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.42 : 14,621.14 = 5,584.54 : x
  2. Step 2: Convert to fraction form
    9,747.42/14,621.14 = 5,584.54/x
  3. Step 3: Cross multiply
    9,747.42x = 14,621.14 × 5,584.54
  4. Step 4: Simplify right side
    9,747.42x = 81,652,341.18
  5. Step 5: Solve for x
    x = 81,652,341.18/9,747.42
  6. Step 6: Final answer
    x = 8,376.82

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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.