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Finding the Fourth Proportional to 9,640.80, 14,463.51 and 3,315.57

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Solution

The fourth proportional to 9,640.80, 14,463.51 and 3,315.57 is: 4,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.80 : 14,463.51 = 3,315.57 : x
  2. Step 2: Convert to fraction form
    9,640.80/14,463.51 = 3,315.57/x
  3. Step 3: Cross multiply
    9,640.80x = 14,463.51 × 3,315.57
  4. Step 4: Simplify right side
    9,640.80x = 47,954,779.85
  5. Step 5: Solve for x
    x = 47,954,779.85/9,640.80
  6. Step 6: Final answer
    x = 4,974.15

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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.