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Finding the Fourth Proportional to 6,854.90, 9,459.77 and 3,711.08

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Solution

The fourth proportional to 6,854.90, 9,459.77 and 3,711.08 is: 5,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.90 : 9,459.77 = 3,711.08 : x
  2. Step 2: Convert to fraction form
    6,854.90/9,459.77 = 3,711.08/x
  3. Step 3: Cross multiply
    6,854.90x = 9,459.77 × 3,711.08
  4. Step 4: Simplify right side
    6,854.90x = 35,105,968.35
  5. Step 5: Solve for x
    x = 35,105,968.35/6,854.90
  6. Step 6: Final answer
    x = 5,121.30

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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.