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Finding the Fourth Proportional to 6,047.70, 9,061.74 and 2,534.82

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Solution

The fourth proportional to 6,047.70, 9,061.74 and 2,534.82 is: 3,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.70 : 9,061.74 = 2,534.82 : x
  2. Step 2: Convert to fraction form
    6,047.70/9,061.74 = 2,534.82/x
  3. Step 3: Cross multiply
    6,047.70x = 9,061.74 × 2,534.82
  4. Step 4: Simplify right side
    6,047.70x = 22,969,879.79
  5. Step 5: Solve for x
    x = 22,969,879.79/6,047.70
  6. Step 6: Final answer
    x = 3,798.12

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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.