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Finding the Fourth Proportional to 9,684.38, 13,362.38 and 5,704.04

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Solution

The fourth proportional to 9,684.38, 13,362.38 and 5,704.04 is: 7,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.38 : 13,362.38 = 5,704.04 : x
  2. Step 2: Convert to fraction form
    9,684.38/13,362.38 = 5,704.04/x
  3. Step 3: Cross multiply
    9,684.38x = 13,362.38 × 5,704.04
  4. Step 4: Simplify right side
    9,684.38x = 76,219,454.68
  5. Step 5: Solve for x
    x = 76,219,454.68/9,684.38
  6. Step 6: Final answer
    x = 7,870.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.