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Finding the Fourth Proportional to 6,664.38, 9,200.36 and 4,307.86

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Solution

The fourth proportional to 6,664.38, 9,200.36 and 4,307.86 is: 5,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.38 : 9,200.36 = 4,307.86 : x
  2. Step 2: Convert to fraction form
    6,664.38/9,200.36 = 4,307.86/x
  3. Step 3: Cross multiply
    6,664.38x = 9,200.36 × 4,307.86
  4. Step 4: Simplify right side
    6,664.38x = 39,633,862.83
  5. Step 5: Solve for x
    x = 39,633,862.83/6,664.38
  6. Step 6: Final answer
    x = 5,947.12

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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.