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Finding the Fourth Proportional to 6,276.62, 9,417.22 and 2,381

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Solution

The fourth proportional to 6,276.62, 9,417.22 and 2,381 is: 3,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.62 : 9,417.22 = 2,381 : x
  2. Step 2: Convert to fraction form
    6,276.62/9,417.22 = 2,381/x
  3. Step 3: Cross multiply
    6,276.62x = 9,417.22 × 2,381
  4. Step 4: Simplify right side
    6,276.62x = 22,422,400.82
  5. Step 5: Solve for x
    x = 22,422,400.82/6,276.62
  6. Step 6: Final answer
    x = 3,572.37

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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.