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Finding the Fourth Proportional to 9,775.20, 14,660.10 and 3,932.40

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Solution

The fourth proportional to 9,775.20, 14,660.10 and 3,932.40 is: 5,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.20 : 14,660.10 = 3,932.40 : x
  2. Step 2: Convert to fraction form
    9,775.20/14,660.10 = 3,932.40/x
  3. Step 3: Cross multiply
    9,775.20x = 14,660.10 × 3,932.40
  4. Step 4: Simplify right side
    9,775.20x = 57,649,377.24
  5. Step 5: Solve for x
    x = 57,649,377.24/9,775.20
  6. Step 6: Final answer
    x = 5,897.51

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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.