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Finding the Fourth Proportional to 9,777.18, 14,665.80 and 2,757.84

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Solution

The fourth proportional to 9,777.18, 14,665.80 and 2,757.84 is: 4,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.18 : 14,665.80 = 2,757.84 : x
  2. Step 2: Convert to fraction form
    9,777.18/14,665.80 = 2,757.84/x
  3. Step 3: Cross multiply
    9,777.18x = 14,665.80 × 2,757.84
  4. Step 4: Simplify right side
    9,777.18x = 40,445,929.87
  5. Step 5: Solve for x
    x = 40,445,929.87/9,777.18
  6. Step 6: Final answer
    x = 4,136.77

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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.