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Finding the Fourth Proportional to 9,391.08, 12,959.48 and 5,142.04

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Solution

The fourth proportional to 9,391.08, 12,959.48 and 5,142.04 is: 7,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.08 : 12,959.48 = 5,142.04 : x
  2. Step 2: Convert to fraction form
    9,391.08/12,959.48 = 5,142.04/x
  3. Step 3: Cross multiply
    9,391.08x = 12,959.48 × 5,142.04
  4. Step 4: Simplify right side
    9,391.08x = 66,638,164.54
  5. Step 5: Solve for x
    x = 66,638,164.54/9,391.08
  6. Step 6: Final answer
    x = 7,095.90

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