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Finding the Fourth Proportional to 9,480.38, 13,082.99 and 5,288.63

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Solution

The fourth proportional to 9,480.38, 13,082.99 and 5,288.63 is: 7,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.38 : 13,082.99 = 5,288.63 : x
  2. Step 2: Convert to fraction form
    9,480.38/13,082.99 = 5,288.63/x
  3. Step 3: Cross multiply
    9,480.38x = 13,082.99 × 5,288.63
  4. Step 4: Simplify right side
    9,480.38x = 69,191,001.55
  5. Step 5: Solve for x
    x = 69,191,001.55/9,480.38
  6. Step 6: Final answer
    x = 7,298.34

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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.