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Finding the Fourth Proportional to 9,028.16, 12,462 and 6,204.90

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Solution

The fourth proportional to 9,028.16, 12,462 and 6,204.90 is: 8,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.16 : 12,462 = 6,204.90 : x
  2. Step 2: Convert to fraction form
    9,028.16/12,462 = 6,204.90/x
  3. Step 3: Cross multiply
    9,028.16x = 12,462 × 6,204.90
  4. Step 4: Simplify right side
    9,028.16x = 77,325,463.80
  5. Step 5: Solve for x
    x = 77,325,463.80/9,028.16
  6. Step 6: Final answer
    x = 8,564.92

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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.