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Finding the Fourth Proportional to 6,780.57, 9,357.54 and 4,261.74

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Solution

The fourth proportional to 6,780.57, 9,357.54 and 4,261.74 is: 5,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.57 : 9,357.54 = 4,261.74 : x
  2. Step 2: Convert to fraction form
    6,780.57/9,357.54 = 4,261.74/x
  3. Step 3: Cross multiply
    6,780.57x = 9,357.54 × 4,261.74
  4. Step 4: Simplify right side
    6,780.57x = 39,879,402.52
  5. Step 5: Solve for x
    x = 39,879,402.52/6,780.57
  6. Step 6: Final answer
    x = 5,881.42

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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.