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Finding the Fourth Proportional to 8,946.80, 13,404.96 and 5,822.06

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Solution

The fourth proportional to 8,946.80, 13,404.96 and 5,822.06 is: 8,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.80 : 13,404.96 = 5,822.06 : x
  2. Step 2: Convert to fraction form
    8,946.80/13,404.96 = 5,822.06/x
  3. Step 3: Cross multiply
    8,946.80x = 13,404.96 × 5,822.06
  4. Step 4: Simplify right side
    8,946.80x = 78,044,481.42
  5. Step 5: Solve for x
    x = 78,044,481.42/8,946.80
  6. Step 6: Final answer
    x = 8,723.17

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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.