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Finding the Fourth Proportional to 6,876.89, 9,490.14 and 3,733.08

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Solution

The fourth proportional to 6,876.89, 9,490.14 and 3,733.08 is: 5,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.89 : 9,490.14 = 3,733.08 : x
  2. Step 2: Convert to fraction form
    6,876.89/9,490.14 = 3,733.08/x
  3. Step 3: Cross multiply
    6,876.89x = 9,490.14 × 3,733.08
  4. Step 4: Simplify right side
    6,876.89x = 35,427,437.83
  5. Step 5: Solve for x
    x = 35,427,437.83/6,876.89
  6. Step 6: Final answer
    x = 5,151.66

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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.