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Finding the Fourth Proportional to 6,851.07, 9,460.86 and 5,042.69

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Solution

The fourth proportional to 6,851.07, 9,460.86 and 5,042.69 is: 6,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.07 : 9,460.86 = 5,042.69 : x
  2. Step 2: Convert to fraction form
    6,851.07/9,460.86 = 5,042.69/x
  3. Step 3: Cross multiply
    6,851.07x = 9,460.86 × 5,042.69
  4. Step 4: Simplify right side
    6,851.07x = 47,708,184.11
  5. Step 5: Solve for x
    x = 47,708,184.11/6,851.07
  6. Step 6: Final answer
    x = 6,963.61

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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.