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Finding the Fourth Proportional to 9,777.88, 14,655.66 and 3,930.76

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Solution

The fourth proportional to 9,777.88, 14,655.66 and 3,930.76 is: 5,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.88 : 14,655.66 = 3,930.76 : x
  2. Step 2: Convert to fraction form
    9,777.88/14,655.66 = 3,930.76/x
  3. Step 3: Cross multiply
    9,777.88x = 14,655.66 × 3,930.76
  4. Step 4: Simplify right side
    9,777.88x = 57,607,882.10
  5. Step 5: Solve for x
    x = 57,607,882.10/9,777.88
  6. Step 6: Final answer
    x = 5,891.65

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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.