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Finding the Fourth Proportional to 9,097.38, 12,554.22 and 5,118.12

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Solution

The fourth proportional to 9,097.38, 12,554.22 and 5,118.12 is: 7,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.38 : 12,554.22 = 5,118.12 : x
  2. Step 2: Convert to fraction form
    9,097.38/12,554.22 = 5,118.12/x
  3. Step 3: Cross multiply
    9,097.38x = 12,554.22 × 5,118.12
  4. Step 4: Simplify right side
    9,097.38x = 64,254,023.66
  5. Step 5: Solve for x
    x = 64,254,023.66/9,097.38
  6. Step 6: Final answer
    x = 7,062.92

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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.