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Finding the Fourth Proportional to 8,822.42, 13,205.23 and 4,656.49

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Solution

The fourth proportional to 8,822.42, 13,205.23 and 4,656.49 is: 6,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.42 : 13,205.23 = 4,656.49 : x
  2. Step 2: Convert to fraction form
    8,822.42/13,205.23 = 4,656.49/x
  3. Step 3: Cross multiply
    8,822.42x = 13,205.23 × 4,656.49
  4. Step 4: Simplify right side
    8,822.42x = 61,489,976.79
  5. Step 5: Solve for x
    x = 61,489,976.79/8,822.42
  6. Step 6: Final answer
    x = 6,969.74

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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.