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Finding the Fourth Proportional to 6,750.98, 9,314.86 and 3,916.71

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Solution

The fourth proportional to 6,750.98, 9,314.86 and 3,916.71 is: 5,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.98 : 9,314.86 = 3,916.71 : x
  2. Step 2: Convert to fraction form
    6,750.98/9,314.86 = 3,916.71/x
  3. Step 3: Cross multiply
    6,750.98x = 9,314.86 × 3,916.71
  4. Step 4: Simplify right side
    6,750.98x = 36,483,640.08
  5. Step 5: Solve for x
    x = 36,483,640.08/6,750.98
  6. Step 6: Final answer
    x = 5,404.20

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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.