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Finding the Fourth Proportional to 6,855.84, 9,461.01 and 3,712.02

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Solution

The fourth proportional to 6,855.84, 9,461.01 and 3,712.02 is: 5,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.84 : 9,461.01 = 3,712.02 : x
  2. Step 2: Convert to fraction form
    6,855.84/9,461.01 = 3,712.02/x
  3. Step 3: Cross multiply
    6,855.84x = 9,461.01 × 3,712.02
  4. Step 4: Simplify right side
    6,855.84x = 35,119,458.34
  5. Step 5: Solve for x
    x = 35,119,458.34/6,855.84
  6. Step 6: Final answer
    x = 5,122.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.