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Finding the Fourth Proportional to 9,147.57, 13,722.01 and 4,471.47

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Solution

The fourth proportional to 9,147.57, 13,722.01 and 4,471.47 is: 6,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.57 : 13,722.01 = 4,471.47 : x
  2. Step 2: Convert to fraction form
    9,147.57/13,722.01 = 4,471.47/x
  3. Step 3: Cross multiply
    9,147.57x = 13,722.01 × 4,471.47
  4. Step 4: Simplify right side
    9,147.57x = 61,357,544.88
  5. Step 5: Solve for x
    x = 61,357,544.88/9,147.57
  6. Step 6: Final answer
    x = 6,707.53

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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.