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Finding the Fourth Proportional to 6,101.94, 9,142.05 and 2,808.08

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Solution

The fourth proportional to 6,101.94, 9,142.05 and 2,808.08 is: 4,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.94 : 9,142.05 = 2,808.08 : x
  2. Step 2: Convert to fraction form
    6,101.94/9,142.05 = 2,808.08/x
  3. Step 3: Cross multiply
    6,101.94x = 9,142.05 × 2,808.08
  4. Step 4: Simplify right side
    6,101.94x = 25,671,606.87
  5. Step 5: Solve for x
    x = 25,671,606.87/6,101.94
  6. Step 6: Final answer
    x = 4,207.12

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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.