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Finding the Fourth Proportional to 7,155.30, 9,876.38 and 4,322.23

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Solution

The fourth proportional to 7,155.30, 9,876.38 and 4,322.23 is: 5,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.30 : 9,876.38 = 4,322.23 : x
  2. Step 2: Convert to fraction form
    7,155.30/9,876.38 = 4,322.23/x
  3. Step 3: Cross multiply
    7,155.30x = 9,876.38 × 4,322.23
  4. Step 4: Simplify right side
    7,155.30x = 42,687,914.93
  5. Step 5: Solve for x
    x = 42,687,914.93/7,155.30
  6. Step 6: Final answer
    x = 5,965.92

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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.