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Finding the Fourth Proportional to 12,444.33, 17,172.86 and 6,778.92

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Solution

The fourth proportional to 12,444.33, 17,172.86 and 6,778.92 is: 9,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.33 : 17,172.86 = 6,778.92 : x
  2. Step 2: Convert to fraction form
    12,444.33/17,172.86 = 6,778.92/x
  3. Step 3: Cross multiply
    12,444.33x = 17,172.86 × 6,778.92
  4. Step 4: Simplify right side
    12,444.33x = 116,413,410.22
  5. Step 5: Solve for x
    x = 116,413,410.22/12,444.33
  6. Step 6: Final answer
    x = 9,354.74

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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.