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Finding the Fourth Proportional to 6,854.86, 9,459.70 and 3,711.05

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Solution

The fourth proportional to 6,854.86, 9,459.70 and 3,711.05 is: 5,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.86 : 9,459.70 = 3,711.05 : x
  2. Step 2: Convert to fraction form
    6,854.86/9,459.70 = 3,711.05/x
  3. Step 3: Cross multiply
    6,854.86x = 9,459.70 × 3,711.05
  4. Step 4: Simplify right side
    6,854.86x = 35,105,419.69
  5. Step 5: Solve for x
    x = 35,105,419.69/6,854.86
  6. Step 6: Final answer
    x = 5,121.25

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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.