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Finding the Fourth Proportional to 9,638.39, 13,299.81 and 5,330.90

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Solution

The fourth proportional to 9,638.39, 13,299.81 and 5,330.90 is: 7,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.39 : 13,299.81 = 5,330.90 : x
  2. Step 2: Convert to fraction form
    9,638.39/13,299.81 = 5,330.90/x
  3. Step 3: Cross multiply
    9,638.39x = 13,299.81 × 5,330.90
  4. Step 4: Simplify right side
    9,638.39x = 70,899,990.38
  5. Step 5: Solve for x
    x = 70,899,990.38/9,638.39
  6. Step 6: Final answer
    x = 7,356.00

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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.