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Finding the Fourth Proportional to 9,097.97, 12,555.44 and 5,119.22

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Solution

The fourth proportional to 9,097.97, 12,555.44 and 5,119.22 is: 7,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.97 : 12,555.44 = 5,119.22 : x
  2. Step 2: Convert to fraction form
    9,097.97/12,555.44 = 5,119.22/x
  3. Step 3: Cross multiply
    9,097.97x = 12,555.44 × 5,119.22
  4. Step 4: Simplify right side
    9,097.97x = 64,274,053.16
  5. Step 5: Solve for x
    x = 64,274,053.16/9,097.97
  6. Step 6: Final answer
    x = 7,064.66

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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.