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Finding the Fourth Proportional to 9,165.13, 12,647.89 and 4,973.38

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Solution

The fourth proportional to 9,165.13, 12,647.89 and 4,973.38 is: 6,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.13 : 12,647.89 = 4,973.38 : x
  2. Step 2: Convert to fraction form
    9,165.13/12,647.89 = 4,973.38/x
  3. Step 3: Cross multiply
    9,165.13x = 12,647.89 × 4,973.38
  4. Step 4: Simplify right side
    9,165.13x = 62,902,750.73
  5. Step 5: Solve for x
    x = 62,902,750.73/9,165.13
  6. Step 6: Final answer
    x = 6,863.27

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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.