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Finding the Fourth Proportional to 6,073.90, 9,109.62 and 1,690.18

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Solution

The fourth proportional to 6,073.90, 9,109.62 and 1,690.18 is: 2,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.90 : 9,109.62 = 1,690.18 : x
  2. Step 2: Convert to fraction form
    6,073.90/9,109.62 = 1,690.18/x
  3. Step 3: Cross multiply
    6,073.90x = 9,109.62 × 1,690.18
  4. Step 4: Simplify right side
    6,073.90x = 15,396,874.76
  5. Step 5: Solve for x
    x = 15,396,874.76/6,073.90
  6. Step 6: Final answer
    x = 2,534.93

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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.