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Finding the Fourth Proportional to 6,156.25, 9,235.73 and 2,460.22

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Solution

The fourth proportional to 6,156.25, 9,235.73 and 2,460.22 is: 3,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.25 : 9,235.73 = 2,460.22 : x
  2. Step 2: Convert to fraction form
    6,156.25/9,235.73 = 2,460.22/x
  3. Step 3: Cross multiply
    6,156.25x = 9,235.73 × 2,460.22
  4. Step 4: Simplify right side
    6,156.25x = 22,721,910.72
  5. Step 5: Solve for x
    x = 22,721,910.72/6,156.25
  6. Step 6: Final answer
    x = 3,690.87

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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.