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Finding the Fourth Proportional to 9,865.68, 14,769.36 and 6,567.36

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Solution

The fourth proportional to 9,865.68, 14,769.36 and 6,567.36 is: 9,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.68 : 14,769.36 = 6,567.36 : x
  2. Step 2: Convert to fraction form
    9,865.68/14,769.36 = 6,567.36/x
  3. Step 3: Cross multiply
    9,865.68x = 14,769.36 × 6,567.36
  4. Step 4: Simplify right side
    9,865.68x = 96,995,704.09
  5. Step 5: Solve for x
    x = 96,995,704.09/9,865.68
  6. Step 6: Final answer
    x = 9,831.63

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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.