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Finding the Fourth Proportional to 6,867.90, 9,470.58 and 5,876.46

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Solution

The fourth proportional to 6,867.90, 9,470.58 and 5,876.46 is: 8,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.90 : 9,470.58 = 5,876.46 : x
  2. Step 2: Convert to fraction form
    6,867.90/9,470.58 = 5,876.46/x
  3. Step 3: Cross multiply
    6,867.90x = 9,470.58 × 5,876.46
  4. Step 4: Simplify right side
    6,867.90x = 55,653,484.55
  5. Step 5: Solve for x
    x = 55,653,484.55/6,867.90
  6. Step 6: Final answer
    x = 8,103.42

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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.