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Finding the Fourth Proportional to 9,705.76, 13,380.38 and 8,207.66

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Solution

The fourth proportional to 9,705.76, 13,380.38 and 8,207.66 is: 11,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.76 : 13,380.38 = 8,207.66 : x
  2. Step 2: Convert to fraction form
    9,705.76/13,380.38 = 8,207.66/x
  3. Step 3: Cross multiply
    9,705.76x = 13,380.38 × 8,207.66
  4. Step 4: Simplify right side
    9,705.76x = 109,821,609.71
  5. Step 5: Solve for x
    x = 109,821,609.71/9,705.76
  6. Step 6: Final answer
    x = 11,315.10

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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.