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Finding the Fourth Proportional to 9,304.32, 12,831.36 and 6,114.56

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Solution

The fourth proportional to 9,304.32, 12,831.36 and 6,114.56 is: 8,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.32 : 12,831.36 = 6,114.56 : x
  2. Step 2: Convert to fraction form
    9,304.32/12,831.36 = 6,114.56/x
  3. Step 3: Cross multiply
    9,304.32x = 12,831.36 × 6,114.56
  4. Step 4: Simplify right side
    9,304.32x = 78,458,120.60
  5. Step 5: Solve for x
    x = 78,458,120.60/9,304.32
  6. Step 6: Final answer
    x = 8,432.44

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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.