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Finding the Fourth Proportional to 9,351.78, 14,022.72 and 2,777.10

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Solution

The fourth proportional to 9,351.78, 14,022.72 and 2,777.10 is: 4,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.78 : 14,022.72 = 2,777.10 : x
  2. Step 2: Convert to fraction form
    9,351.78/14,022.72 = 2,777.10/x
  3. Step 3: Cross multiply
    9,351.78x = 14,022.72 × 2,777.10
  4. Step 4: Simplify right side
    9,351.78x = 38,942,495.71
  5. Step 5: Solve for x
    x = 38,942,495.71/9,351.78
  6. Step 6: Final answer
    x = 4,164.18

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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.