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Finding the Fourth Proportional to 9,340.50, 14,005.80 and 2,765.78

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Solution

The fourth proportional to 9,340.50, 14,005.80 and 2,765.78 is: 4,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.50 : 14,005.80 = 2,765.78 : x
  2. Step 2: Convert to fraction form
    9,340.50/14,005.80 = 2,765.78/x
  3. Step 3: Cross multiply
    9,340.50x = 14,005.80 × 2,765.78
  4. Step 4: Simplify right side
    9,340.50x = 38,736,961.52
  5. Step 5: Solve for x
    x = 38,736,961.52/9,340.50
  6. Step 6: Final answer
    x = 4,147.20

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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.