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Finding the Fourth Proportional to 9,278.16, 13,917.24 and 2,352.48

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Solution

The fourth proportional to 9,278.16, 13,917.24 and 2,352.48 is: 3,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.16 : 13,917.24 = 2,352.48 : x
  2. Step 2: Convert to fraction form
    9,278.16/13,917.24 = 2,352.48/x
  3. Step 3: Cross multiply
    9,278.16x = 13,917.24 × 2,352.48
  4. Step 4: Simplify right side
    9,278.16x = 32,740,028.76
  5. Step 5: Solve for x
    x = 32,740,028.76/9,278.16
  6. Step 6: Final answer
    x = 3,528.72

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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.