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Finding the Fourth Proportional to 6,402.08, 8,834.93 and 3,569.78

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Solution

The fourth proportional to 6,402.08, 8,834.93 and 3,569.78 is: 4,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.08 : 8,834.93 = 3,569.78 : x
  2. Step 2: Convert to fraction form
    6,402.08/8,834.93 = 3,569.78/x
  3. Step 3: Cross multiply
    6,402.08x = 8,834.93 × 3,569.78
  4. Step 4: Simplify right side
    6,402.08x = 31,538,694.39
  5. Step 5: Solve for x
    x = 31,538,694.39/6,402.08
  6. Step 6: Final answer
    x = 4,926.32

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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.