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Finding the Fourth Proportional to 9,199.80, 13,806.66 and 6,741.02

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Solution

The fourth proportional to 9,199.80, 13,806.66 and 6,741.02 is: 10,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.80 : 13,806.66 = 6,741.02 : x
  2. Step 2: Convert to fraction form
    9,199.80/13,806.66 = 6,741.02/x
  3. Step 3: Cross multiply
    9,199.80x = 13,806.66 × 6,741.02
  4. Step 4: Simplify right side
    9,199.80x = 93,070,971.19
  5. Step 5: Solve for x
    x = 93,070,971.19/9,199.80
  6. Step 6: Final answer
    x = 10,116.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.