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Finding the Fourth Proportional to 9,057.41, 12,499.69 and 5,078.29

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Solution

The fourth proportional to 9,057.41, 12,499.69 and 5,078.29 is: 7,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.41 : 12,499.69 = 5,078.29 : x
  2. Step 2: Convert to fraction form
    9,057.41/12,499.69 = 5,078.29/x
  3. Step 3: Cross multiply
    9,057.41x = 12,499.69 × 5,078.29
  4. Step 4: Simplify right side
    9,057.41x = 63,476,988.23
  5. Step 5: Solve for x
    x = 63,476,988.23/9,057.41
  6. Step 6: Final answer
    x = 7,008.29

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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.