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Finding the Fourth Proportional to 9,147.70, 13,722.15 and 2,574.10

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Solution

The fourth proportional to 9,147.70, 13,722.15 and 2,574.10 is: 3,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.70 : 13,722.15 = 2,574.10 : x
  2. Step 2: Convert to fraction form
    9,147.70/13,722.15 = 2,574.10/x
  3. Step 3: Cross multiply
    9,147.70x = 13,722.15 × 2,574.10
  4. Step 4: Simplify right side
    9,147.70x = 35,322,186.32
  5. Step 5: Solve for x
    x = 35,322,186.32/9,147.70
  6. Step 6: Final answer
    x = 3,861.32

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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.