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Finding the Fourth Proportional to 9,812.19, 14,697.96 and 4,799.49

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Solution

The fourth proportional to 9,812.19, 14,697.96 and 4,799.49 is: 7,189.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.19 : 14,697.96 = 4,799.49 : x
  2. Step 2: Convert to fraction form
    9,812.19/14,697.96 = 4,799.49/x
  3. Step 3: Cross multiply
    9,812.19x = 14,697.96 × 4,799.49
  4. Step 4: Simplify right side
    9,812.19x = 70,542,712.04
  5. Step 5: Solve for x
    x = 70,542,712.04/9,812.19
  6. Step 6: Final answer
    x = 7,189.29

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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.