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Finding the Fourth Proportional to 6,833.38, 9,430.77 and 4,182.55

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Solution

The fourth proportional to 6,833.38, 9,430.77 and 4,182.55 is: 5,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.38 : 9,430.77 = 4,182.55 : x
  2. Step 2: Convert to fraction form
    6,833.38/9,430.77 = 4,182.55/x
  3. Step 3: Cross multiply
    6,833.38x = 9,430.77 × 4,182.55
  4. Step 4: Simplify right side
    6,833.38x = 39,444,667.06
  5. Step 5: Solve for x
    x = 39,444,667.06/6,833.38
  6. Step 6: Final answer
    x = 5,772.35

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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.