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Finding the Fourth Proportional to 9,873.56, 13,620.93 and 5,679.38

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Solution

The fourth proportional to 9,873.56, 13,620.93 and 5,679.38 is: 7,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.56 : 13,620.93 = 5,679.38 : x
  2. Step 2: Convert to fraction form
    9,873.56/13,620.93 = 5,679.38/x
  3. Step 3: Cross multiply
    9,873.56x = 13,620.93 × 5,679.38
  4. Step 4: Simplify right side
    9,873.56x = 77,358,369.32
  5. Step 5: Solve for x
    x = 77,358,369.32/9,873.56
  6. Step 6: Final answer
    x = 7,834.91

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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.