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Finding the Fourth Proportional to 6,878.72, 9,491.73 and 4,356.38

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Solution

The fourth proportional to 6,878.72, 9,491.73 and 4,356.38 is: 6,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.72 : 9,491.73 = 4,356.38 : x
  2. Step 2: Convert to fraction form
    6,878.72/9,491.73 = 4,356.38/x
  3. Step 3: Cross multiply
    6,878.72x = 9,491.73 × 4,356.38
  4. Step 4: Simplify right side
    6,878.72x = 41,349,614.63
  5. Step 5: Solve for x
    x = 41,349,614.63/6,878.72
  6. Step 6: Final answer
    x = 6,011.23

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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.