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Finding the Fourth Proportional to 9,463.88, 13,060.32 and 5,215.43

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Solution

The fourth proportional to 9,463.88, 13,060.32 and 5,215.43 is: 7,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.88 : 13,060.32 = 5,215.43 : x
  2. Step 2: Convert to fraction form
    9,463.88/13,060.32 = 5,215.43/x
  3. Step 3: Cross multiply
    9,463.88x = 13,060.32 × 5,215.43
  4. Step 4: Simplify right side
    9,463.88x = 68,115,184.74
  5. Step 5: Solve for x
    x = 68,115,184.74/9,463.88
  6. Step 6: Final answer
    x = 7,197.38

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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.