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Finding the Fourth Proportional to 8,642.23, 12,963.27 and 2,402.22

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Solution

The fourth proportional to 8,642.23, 12,963.27 and 2,402.22 is: 3,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.23 : 12,963.27 = 2,402.22 : x
  2. Step 2: Convert to fraction form
    8,642.23/12,963.27 = 2,402.22/x
  3. Step 3: Cross multiply
    8,642.23x = 12,963.27 × 2,402.22
  4. Step 4: Simplify right side
    8,642.23x = 31,140,684.08
  5. Step 5: Solve for x
    x = 31,140,684.08/8,642.23
  6. Step 6: Final answer
    x = 3,603.32

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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.