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Finding the Fourth Proportional to 6,854.69, 9,459.48 and 3,710.88

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Solution

The fourth proportional to 6,854.69, 9,459.48 and 3,710.88 is: 5,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.69 : 9,459.48 = 3,710.88 : x
  2. Step 2: Convert to fraction form
    6,854.69/9,459.48 = 3,710.88/x
  3. Step 3: Cross multiply
    6,854.69x = 9,459.48 × 3,710.88
  4. Step 4: Simplify right side
    6,854.69x = 35,103,009.06
  5. Step 5: Solve for x
    x = 35,103,009.06/6,854.69
  6. Step 6: Final answer
    x = 5,121.02

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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.