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Finding the Fourth Proportional to 6,855.95, 9,461.24 and 3,712.14

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Solution

The fourth proportional to 6,855.95, 9,461.24 and 3,712.14 is: 5,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.95 : 9,461.24 = 3,712.14 : x
  2. Step 2: Convert to fraction form
    6,855.95/9,461.24 = 3,712.14/x
  3. Step 3: Cross multiply
    6,855.95x = 9,461.24 × 3,712.14
  4. Step 4: Simplify right side
    6,855.95x = 35,121,442.81
  5. Step 5: Solve for x
    x = 35,121,442.81/6,855.95
  6. Step 6: Final answer
    x = 5,122.77

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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.