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Finding the Fourth Proportional to 6,072.42, 9,109.44 and 2,124.48

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Solution

The fourth proportional to 6,072.42, 9,109.44 and 2,124.48 is: 3,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.42 : 9,109.44 = 2,124.48 : x
  2. Step 2: Convert to fraction form
    6,072.42/9,109.44 = 2,124.48/x
  3. Step 3: Cross multiply
    6,072.42x = 9,109.44 × 2,124.48
  4. Step 4: Simplify right side
    6,072.42x = 19,352,823.09
  5. Step 5: Solve for x
    x = 19,352,823.09/6,072.42
  6. Step 6: Final answer
    x = 3,187.00

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