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Finding the Fourth Proportional to 6,337.79, 8,734.55 and 4,209.56

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Solution

The fourth proportional to 6,337.79, 8,734.55 and 4,209.56 is: 5,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.79 : 8,734.55 = 4,209.56 : x
  2. Step 2: Convert to fraction form
    6,337.79/8,734.55 = 4,209.56/x
  3. Step 3: Cross multiply
    6,337.79x = 8,734.55 × 4,209.56
  4. Step 4: Simplify right side
    6,337.79x = 36,768,547.58
  5. Step 5: Solve for x
    x = 36,768,547.58/6,337.79
  6. Step 6: Final answer
    x = 5,801.48

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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.