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Finding the Fourth Proportional to 6,272.51, 9,407.25 and 2,111.44

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Solution

The fourth proportional to 6,272.51, 9,407.25 and 2,111.44 is: 3,166.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.51 : 9,407.25 = 2,111.44 : x
  2. Step 2: Convert to fraction form
    6,272.51/9,407.25 = 2,111.44/x
  3. Step 3: Cross multiply
    6,272.51x = 9,407.25 × 2,111.44
  4. Step 4: Simplify right side
    6,272.51x = 19,862,855.70
  5. Step 5: Solve for x
    x = 19,862,855.70/6,272.51
  6. Step 6: Final answer
    x = 3,166.65

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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.