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Finding the Fourth Proportional to 9,511.78, 14,267.28 and 2,491.68

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Solution

The fourth proportional to 9,511.78, 14,267.28 and 2,491.68 is: 3,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.78 : 14,267.28 = 2,491.68 : x
  2. Step 2: Convert to fraction form
    9,511.78/14,267.28 = 2,491.68/x
  3. Step 3: Cross multiply
    9,511.78x = 14,267.28 × 2,491.68
  4. Step 4: Simplify right side
    9,511.78x = 35,549,496.23
  5. Step 5: Solve for x
    x = 35,549,496.23/9,511.78
  6. Step 6: Final answer
    x = 3,737.42

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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.