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Finding the Fourth Proportional to 9,047.27, 12,491.34 and 5,649.47

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Solution

The fourth proportional to 9,047.27, 12,491.34 and 5,649.47 is: 7,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.27 : 12,491.34 = 5,649.47 : x
  2. Step 2: Convert to fraction form
    9,047.27/12,491.34 = 5,649.47/x
  3. Step 3: Cross multiply
    9,047.27x = 12,491.34 × 5,649.47
  4. Step 4: Simplify right side
    9,047.27x = 70,569,481.82
  5. Step 5: Solve for x
    x = 70,569,481.82/9,047.27
  6. Step 6: Final answer
    x = 7,800.08

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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.