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Finding the Fourth Proportional to 8,697.60, 12,002.76 and 6,831.36

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Solution

The fourth proportional to 8,697.60, 12,002.76 and 6,831.36 is: 9,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.60 : 12,002.76 = 6,831.36 : x
  2. Step 2: Convert to fraction form
    8,697.60/12,002.76 = 6,831.36/x
  3. Step 3: Cross multiply
    8,697.60x = 12,002.76 × 6,831.36
  4. Step 4: Simplify right side
    8,697.60x = 81,995,174.55
  5. Step 5: Solve for x
    x = 81,995,174.55/8,697.60
  6. Step 6: Final answer
    x = 9,427.33

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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.