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Finding the Fourth Proportional to 6,192.01, 9,274.87 and 4,869.48

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Solution

The fourth proportional to 6,192.01, 9,274.87 and 4,869.48 is: 7,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.01 : 9,274.87 = 4,869.48 : x
  2. Step 2: Convert to fraction form
    6,192.01/9,274.87 = 4,869.48/x
  3. Step 3: Cross multiply
    6,192.01x = 9,274.87 × 4,869.48
  4. Step 4: Simplify right side
    6,192.01x = 45,163,834.84
  5. Step 5: Solve for x
    x = 45,163,834.84/6,192.01
  6. Step 6: Final answer
    x = 7,293.89

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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.