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Finding the Fourth Proportional to 34,362.38, 51,543.80 and 9,401.87

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Solution

The fourth proportional to 34,362.38, 51,543.80 and 9,401.87 is: 14,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,362.38 : 51,543.80 = 9,401.87 : x
  2. Step 2: Convert to fraction form
    34,362.38/51,543.80 = 9,401.87/x
  3. Step 3: Cross multiply
    34,362.38x = 51,543.80 × 9,401.87
  4. Step 4: Simplify right side
    34,362.38x = 484,608,106.91
  5. Step 5: Solve for x
    x = 484,608,106.91/34,362.38
  6. Step 6: Final answer
    x = 14,102.87

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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.