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Finding the Fourth Proportional to 9,488.51, 14,238.23 and 3,942.03

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Solution

The fourth proportional to 9,488.51, 14,238.23 and 3,942.03 is: 5,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.51 : 14,238.23 = 3,942.03 : x
  2. Step 2: Convert to fraction form
    9,488.51/14,238.23 = 3,942.03/x
  3. Step 3: Cross multiply
    9,488.51x = 14,238.23 × 3,942.03
  4. Step 4: Simplify right side
    9,488.51x = 56,127,529.81
  5. Step 5: Solve for x
    x = 56,127,529.81/9,488.51
  6. Step 6: Final answer
    x = 5,915.32

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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.