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Finding the Fourth Proportional to 6,428.16, 8,868.96 and 5,032.80

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Solution

The fourth proportional to 6,428.16, 8,868.96 and 5,032.80 is: 6,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.16 : 8,868.96 = 5,032.80 : x
  2. Step 2: Convert to fraction form
    6,428.16/8,868.96 = 5,032.80/x
  3. Step 3: Cross multiply
    6,428.16x = 8,868.96 × 5,032.80
  4. Step 4: Simplify right side
    6,428.16x = 44,635,701.89
  5. Step 5: Solve for x
    x = 44,635,701.89/6,428.16
  6. Step 6: Final answer
    x = 6,943.78

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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.