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Finding the Fourth Proportional to 9,680.88, 13,355.61 and 6,322.47

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Solution

The fourth proportional to 9,680.88, 13,355.61 and 6,322.47 is: 8,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.88 : 13,355.61 = 6,322.47 : x
  2. Step 2: Convert to fraction form
    9,680.88/13,355.61 = 6,322.47/x
  3. Step 3: Cross multiply
    9,680.88x = 13,355.61 × 6,322.47
  4. Step 4: Simplify right side
    9,680.88x = 84,440,443.56
  5. Step 5: Solve for x
    x = 84,440,443.56/9,680.88
  6. Step 6: Final answer
    x = 8,722.39

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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.