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Finding the Fourth Proportional to 10,099.47, 13,922.82 and 6,741.12

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Solution

The fourth proportional to 10,099.47, 13,922.82 and 6,741.12 is: 9,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.47 : 13,922.82 = 6,741.12 : x
  2. Step 2: Convert to fraction form
    10,099.47/13,922.82 = 6,741.12/x
  3. Step 3: Cross multiply
    10,099.47x = 13,922.82 × 6,741.12
  4. Step 4: Simplify right side
    10,099.47x = 93,855,400.36
  5. Step 5: Solve for x
    x = 93,855,400.36/10,099.47
  6. Step 6: Final answer
    x = 9,293.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.