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Finding the Fourth Proportional to 6,461.99, 9,686.84 and 2,076.38

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Solution

The fourth proportional to 6,461.99, 9,686.84 and 2,076.38 is: 3,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.99 : 9,686.84 = 2,076.38 : x
  2. Step 2: Convert to fraction form
    6,461.99/9,686.84 = 2,076.38/x
  3. Step 3: Cross multiply
    6,461.99x = 9,686.84 × 2,076.38
  4. Step 4: Simplify right side
    6,461.99x = 20,113,502.02
  5. Step 5: Solve for x
    x = 20,113,502.02/6,461.99
  6. Step 6: Final answer
    x = 3,112.59

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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.