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Finding the Fourth Proportional to 9,438.93, 14,161.03 and 3,818.34

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Solution

The fourth proportional to 9,438.93, 14,161.03 and 3,818.34 is: 5,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.93 : 14,161.03 = 3,818.34 : x
  2. Step 2: Convert to fraction form
    9,438.93/14,161.03 = 3,818.34/x
  3. Step 3: Cross multiply
    9,438.93x = 14,161.03 × 3,818.34
  4. Step 4: Simplify right side
    9,438.93x = 54,071,617.74
  5. Step 5: Solve for x
    x = 54,071,617.74/9,438.93
  6. Step 6: Final answer
    x = 5,728.57

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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.