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Finding the Fourth Proportional to 9,028.67, 12,459.15 and 5,049

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Solution

The fourth proportional to 9,028.67, 12,459.15 and 5,049 is: 6,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.67 : 12,459.15 = 5,049 : x
  2. Step 2: Convert to fraction form
    9,028.67/12,459.15 = 5,049/x
  3. Step 3: Cross multiply
    9,028.67x = 12,459.15 × 5,049
  4. Step 4: Simplify right side
    9,028.67x = 62,906,248.35
  5. Step 5: Solve for x
    x = 62,906,248.35/9,028.67
  6. Step 6: Final answer
    x = 6,967.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.