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Finding the Fourth Proportional to 6,072.48, 9,109.20 and 1,689.90

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Solution

The fourth proportional to 6,072.48, 9,109.20 and 1,689.90 is: 2,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.48 : 9,109.20 = 1,689.90 : x
  2. Step 2: Convert to fraction form
    6,072.48/9,109.20 = 1,689.90/x
  3. Step 3: Cross multiply
    6,072.48x = 9,109.20 × 1,689.90
  4. Step 4: Simplify right side
    6,072.48x = 15,393,637.08
  5. Step 5: Solve for x
    x = 15,393,637.08/6,072.48
  6. Step 6: Final answer
    x = 2,534.98

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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.