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Finding the Fourth Proportional to 6,601.30, 9,106.14 and 4,082.98

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Solution

The fourth proportional to 6,601.30, 9,106.14 and 4,082.98 is: 5,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.30 : 9,106.14 = 4,082.98 : x
  2. Step 2: Convert to fraction form
    6,601.30/9,106.14 = 4,082.98/x
  3. Step 3: Cross multiply
    6,601.30x = 9,106.14 × 4,082.98
  4. Step 4: Simplify right side
    6,601.30x = 37,180,187.50
  5. Step 5: Solve for x
    x = 37,180,187.50/6,601.30
  6. Step 6: Final answer
    x = 5,632.25

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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.