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Finding the Fourth Proportional to 6,438.30, 9,660.66 and 3,151.32

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Solution

The fourth proportional to 6,438.30, 9,660.66 and 3,151.32 is: 4,728.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.30 : 9,660.66 = 3,151.32 : x
  2. Step 2: Convert to fraction form
    6,438.30/9,660.66 = 3,151.32/x
  3. Step 3: Cross multiply
    6,438.30x = 9,660.66 × 3,151.32
  4. Step 4: Simplify right side
    6,438.30x = 30,443,831.07
  5. Step 5: Solve for x
    x = 30,443,831.07/6,438.30
  6. Step 6: Final answer
    x = 4,728.55

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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.