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Finding the Fourth Proportional to 6,459.76, 9,681.51 and 3,498.09

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Solution

The fourth proportional to 6,459.76, 9,681.51 and 3,498.09 is: 5,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.76 : 9,681.51 = 3,498.09 : x
  2. Step 2: Convert to fraction form
    6,459.76/9,681.51 = 3,498.09/x
  3. Step 3: Cross multiply
    6,459.76x = 9,681.51 × 3,498.09
  4. Step 4: Simplify right side
    6,459.76x = 33,866,793.32
  5. Step 5: Solve for x
    x = 33,866,793.32/6,459.76
  6. Step 6: Final answer
    x = 5,242.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.