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Finding the Fourth Proportional to 6,209.78, 8,569.40 and 4,117.82

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Solution

The fourth proportional to 6,209.78, 8,569.40 and 4,117.82 is: 5,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.78 : 8,569.40 = 4,117.82 : x
  2. Step 2: Convert to fraction form
    6,209.78/8,569.40 = 4,117.82/x
  3. Step 3: Cross multiply
    6,209.78x = 8,569.40 × 4,117.82
  4. Step 4: Simplify right side
    6,209.78x = 35,287,246.71
  5. Step 5: Solve for x
    x = 35,287,246.71/6,209.78
  6. Step 6: Final answer
    x = 5,682.53

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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.