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Finding the Fourth Proportional to 9,942.53, 14,920.49 and 4,099.01

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Solution

The fourth proportional to 9,942.53, 14,920.49 and 4,099.01 is: 6,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.53 : 14,920.49 = 4,099.01 : x
  2. Step 2: Convert to fraction form
    9,942.53/14,920.49 = 4,099.01/x
  3. Step 3: Cross multiply
    9,942.53x = 14,920.49 × 4,099.01
  4. Step 4: Simplify right side
    9,942.53x = 61,159,173.36
  5. Step 5: Solve for x
    x = 61,159,173.36/9,942.53
  6. Step 6: Final answer
    x = 6,151.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.