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Finding the Fourth Proportional to 9,942, 14,913.04 and 3,368.24

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Solution

The fourth proportional to 9,942, 14,913.04 and 3,368.24 is: 5,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942 : 14,913.04 = 3,368.24 : x
  2. Step 2: Convert to fraction form
    9,942/14,913.04 = 3,368.24/x
  3. Step 3: Cross multiply
    9,942x = 14,913.04 × 3,368.24
  4. Step 4: Simplify right side
    9,942x = 50,230,697.85
  5. Step 5: Solve for x
    x = 50,230,697.85/9,942
  6. Step 6: Final answer
    x = 5,052.37

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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.