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Finding the Fourth Proportional to 6,047.06, 9,069.17 and 3,123.77

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Solution

The fourth proportional to 6,047.06, 9,069.17 and 3,123.77 is: 4,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.06 : 9,069.17 = 3,123.77 : x
  2. Step 2: Convert to fraction form
    6,047.06/9,069.17 = 3,123.77/x
  3. Step 3: Cross multiply
    6,047.06x = 9,069.17 × 3,123.77
  4. Step 4: Simplify right side
    6,047.06x = 28,329,940.21
  5. Step 5: Solve for x
    x = 28,329,940.21/6,047.06
  6. Step 6: Final answer
    x = 4,684.92

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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.