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Finding the Fourth Proportional to 9,391.07, 12,959.69 and 5,854.30

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Solution

The fourth proportional to 9,391.07, 12,959.69 and 5,854.30 is: 8,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.07 : 12,959.69 = 5,854.30 : x
  2. Step 2: Convert to fraction form
    9,391.07/12,959.69 = 5,854.30/x
  3. Step 3: Cross multiply
    9,391.07x = 12,959.69 × 5,854.30
  4. Step 4: Simplify right side
    9,391.07x = 75,869,851.50
  5. Step 5: Solve for x
    x = 75,869,851.50/9,391.07
  6. Step 6: Final answer
    x = 8,078.93

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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.