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Finding the Fourth Proportional to 9,282.78, 13,924.14 and 2,357.28

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Solution

The fourth proportional to 9,282.78, 13,924.14 and 2,357.28 is: 3,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.78 : 13,924.14 = 2,357.28 : x
  2. Step 2: Convert to fraction form
    9,282.78/13,924.14 = 2,357.28/x
  3. Step 3: Cross multiply
    9,282.78x = 13,924.14 × 2,357.28
  4. Step 4: Simplify right side
    9,282.78x = 32,823,096.74
  5. Step 5: Solve for x
    x = 32,823,096.74/9,282.78
  6. Step 6: Final answer
    x = 3,535.91

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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.