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Finding the Fourth Proportional to 6,257.25, 9,386.19 and 1,874.75

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Solution

The fourth proportional to 6,257.25, 9,386.19 and 1,874.75 is: 2,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.25 : 9,386.19 = 1,874.75 : x
  2. Step 2: Convert to fraction form
    6,257.25/9,386.19 = 1,874.75/x
  3. Step 3: Cross multiply
    6,257.25x = 9,386.19 × 1,874.75
  4. Step 4: Simplify right side
    6,257.25x = 17,596,712.77
  5. Step 5: Solve for x
    x = 17,596,712.77/6,257.25
  6. Step 6: Final answer
    x = 2,812.21

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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.