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Finding the Fourth Proportional to 9,291.08, 12,821.72 and 5,042.14

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Solution

The fourth proportional to 9,291.08, 12,821.72 and 5,042.14 is: 6,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.08 : 12,821.72 = 5,042.14 : x
  2. Step 2: Convert to fraction form
    9,291.08/12,821.72 = 5,042.14/x
  3. Step 3: Cross multiply
    9,291.08x = 12,821.72 × 5,042.14
  4. Step 4: Simplify right side
    9,291.08x = 64,648,878.38
  5. Step 5: Solve for x
    x = 64,648,878.38/9,291.08
  6. Step 6: Final answer
    x = 6,958.17

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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.