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Finding the Fourth Proportional to 9,720.96, 13,409.68 and 8,032.38

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Solution

The fourth proportional to 9,720.96, 13,409.68 and 8,032.38 is: 11,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.96 : 13,409.68 = 8,032.38 : x
  2. Step 2: Convert to fraction form
    9,720.96/13,409.68 = 8,032.38/x
  3. Step 3: Cross multiply
    9,720.96x = 13,409.68 × 8,032.38
  4. Step 4: Simplify right side
    9,720.96x = 107,711,645.44
  5. Step 5: Solve for x
    x = 107,711,645.44/9,720.96
  6. Step 6: Final answer
    x = 11,080.35

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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.