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Finding the Fourth Proportional to 9,641.38, 13,312.65 and 7,399.71

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Solution

The fourth proportional to 9,641.38, 13,312.65 and 7,399.71 is: 10,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.38 : 13,312.65 = 7,399.71 : x
  2. Step 2: Convert to fraction form
    9,641.38/13,312.65 = 7,399.71/x
  3. Step 3: Cross multiply
    9,641.38x = 13,312.65 × 7,399.71
  4. Step 4: Simplify right side
    9,641.38x = 98,509,749.33
  5. Step 5: Solve for x
    x = 98,509,749.33/9,641.38
  6. Step 6: Final answer
    x = 10,217.39

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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.