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Finding the Fourth Proportional to 6,616.56, 9,130.87 and 3,822.06

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Solution

The fourth proportional to 6,616.56, 9,130.87 and 3,822.06 is: 5,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.56 : 9,130.87 = 3,822.06 : x
  2. Step 2: Convert to fraction form
    6,616.56/9,130.87 = 3,822.06/x
  3. Step 3: Cross multiply
    6,616.56x = 9,130.87 × 3,822.06
  4. Step 4: Simplify right side
    6,616.56x = 34,898,732.99
  5. Step 5: Solve for x
    x = 34,898,732.99/6,616.56
  6. Step 6: Final answer
    x = 5,274.45

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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.