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Finding the Fourth Proportional to 9,278.80, 13,918.20 and 4,660.72

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Solution

The fourth proportional to 9,278.80, 13,918.20 and 4,660.72 is: 6,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.80 : 13,918.20 = 4,660.72 : x
  2. Step 2: Convert to fraction form
    9,278.80/13,918.20 = 4,660.72/x
  3. Step 3: Cross multiply
    9,278.80x = 13,918.20 × 4,660.72
  4. Step 4: Simplify right side
    9,278.80x = 64,868,833.10
  5. Step 5: Solve for x
    x = 64,868,833.10/9,278.80
  6. Step 6: Final answer
    x = 6,991.08

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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.