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Finding the Fourth Proportional to 9,865.68, 13,615.20 and 5,674.56

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Solution

The fourth proportional to 9,865.68, 13,615.20 and 5,674.56 is: 7,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.68 : 13,615.20 = 5,674.56 : x
  2. Step 2: Convert to fraction form
    9,865.68/13,615.20 = 5,674.56/x
  3. Step 3: Cross multiply
    9,865.68x = 13,615.20 × 5,674.56
  4. Step 4: Simplify right side
    9,865.68x = 77,260,269.31
  5. Step 5: Solve for x
    x = 77,260,269.31/9,865.68
  6. Step 6: Final answer
    x = 7,831.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.