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Finding the Fourth Proportional to 9,338.57, 12,888.96 and 5,305.38

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Solution

The fourth proportional to 9,338.57, 12,888.96 and 5,305.38 is: 7,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.57 : 12,888.96 = 5,305.38 : x
  2. Step 2: Convert to fraction form
    9,338.57/12,888.96 = 5,305.38/x
  3. Step 3: Cross multiply
    9,338.57x = 12,888.96 × 5,305.38
  4. Step 4: Simplify right side
    9,338.57x = 68,380,762.38
  5. Step 5: Solve for x
    x = 68,380,762.38/9,338.57
  6. Step 6: Final answer
    x = 7,322.40

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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.