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Finding the Fourth Proportional to 9,678.38, 13,356.16 and 5,486.63

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Solution

The fourth proportional to 9,678.38, 13,356.16 and 5,486.63 is: 7,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.38 : 13,356.16 = 5,486.63 : x
  2. Step 2: Convert to fraction form
    9,678.38/13,356.16 = 5,486.63/x
  3. Step 3: Cross multiply
    9,678.38x = 13,356.16 × 5,486.63
  4. Step 4: Simplify right side
    9,678.38x = 73,280,227.64
  5. Step 5: Solve for x
    x = 73,280,227.64/9,678.38
  6. Step 6: Final answer
    x = 7,571.54

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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.