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Finding the Fourth Proportional to 9,880.20, 14,813.01 and 4,680

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Solution

The fourth proportional to 9,880.20, 14,813.01 and 4,680 is: 7,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.20 : 14,813.01 = 4,680 : x
  2. Step 2: Convert to fraction form
    9,880.20/14,813.01 = 4,680/x
  3. Step 3: Cross multiply
    9,880.20x = 14,813.01 × 4,680
  4. Step 4: Simplify right side
    9,880.20x = 69,324,886.80
  5. Step 5: Solve for x
    x = 69,324,886.80/9,880.20
  6. Step 6: Final answer
    x = 7,016.55

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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.