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Finding the Fourth Proportional to 9,491.25, 14,224.37 and 8,252.76

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Solution

The fourth proportional to 9,491.25, 14,224.37 and 8,252.76 is: 12,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.25 : 14,224.37 = 8,252.76 : x
  2. Step 2: Convert to fraction form
    9,491.25/14,224.37 = 8,252.76/x
  3. Step 3: Cross multiply
    9,491.25x = 14,224.37 × 8,252.76
  4. Step 4: Simplify right side
    9,491.25x = 117,390,270.50
  5. Step 5: Solve for x
    x = 117,390,270.50/9,491.25
  6. Step 6: Final answer
    x = 12,368.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.