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Finding the Fourth Proportional to 6,078.60, 9,123.30 and 5,257.80

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Solution

The fourth proportional to 6,078.60, 9,123.30 and 5,257.80 is: 7,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.60 : 9,123.30 = 5,257.80 : x
  2. Step 2: Convert to fraction form
    6,078.60/9,123.30 = 5,257.80/x
  3. Step 3: Cross multiply
    6,078.60x = 9,123.30 × 5,257.80
  4. Step 4: Simplify right side
    6,078.60x = 47,968,486.74
  5. Step 5: Solve for x
    x = 47,968,486.74/6,078.60
  6. Step 6: Final answer
    x = 7,891.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.