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Finding the Fourth Proportional to 6,881.28, 10,373.76 and 6,435.84

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Solution

The fourth proportional to 6,881.28, 10,373.76 and 6,435.84 is: 9,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.28 : 10,373.76 = 6,435.84 : x
  2. Step 2: Convert to fraction form
    6,881.28/10,373.76 = 6,435.84/x
  3. Step 3: Cross multiply
    6,881.28x = 10,373.76 × 6,435.84
  4. Step 4: Simplify right side
    6,881.28x = 66,763,859.56
  5. Step 5: Solve for x
    x = 66,763,859.56/6,881.28
  6. Step 6: Final answer
    x = 9,702.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.