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Finding the Fourth Proportional to 9,213.93, 13,821.78 and 2,972.46

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Solution

The fourth proportional to 9,213.93, 13,821.78 and 2,972.46 is: 4,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.93 : 13,821.78 = 2,972.46 : x
  2. Step 2: Convert to fraction form
    9,213.93/13,821.78 = 2,972.46/x
  3. Step 3: Cross multiply
    9,213.93x = 13,821.78 × 2,972.46
  4. Step 4: Simplify right side
    9,213.93x = 41,084,688.18
  5. Step 5: Solve for x
    x = 41,084,688.18/9,213.93
  6. Step 6: Final answer
    x = 4,458.98

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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.