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Finding the Fourth Proportional to 9,711.96, 14,570.67 and 3,138.69

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Solution

The fourth proportional to 9,711.96, 14,570.67 and 3,138.69 is: 4,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.96 : 14,570.67 = 3,138.69 : x
  2. Step 2: Convert to fraction form
    9,711.96/14,570.67 = 3,138.69/x
  3. Step 3: Cross multiply
    9,711.96x = 14,570.67 × 3,138.69
  4. Step 4: Simplify right side
    9,711.96x = 45,732,816.22
  5. Step 5: Solve for x
    x = 45,732,816.22/9,711.96
  6. Step 6: Final answer
    x = 4,708.92

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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.