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Finding the Fourth Proportional to 9,491.25, 13,098.06 and 5,299.50

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Solution

The fourth proportional to 9,491.25, 13,098.06 and 5,299.50 is: 7,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.25 : 13,098.06 = 5,299.50 : x
  2. Step 2: Convert to fraction form
    9,491.25/13,098.06 = 5,299.50/x
  3. Step 3: Cross multiply
    9,491.25x = 13,098.06 × 5,299.50
  4. Step 4: Simplify right side
    9,491.25x = 69,413,168.97
  5. Step 5: Solve for x
    x = 69,413,168.97/9,491.25
  6. Step 6: Final answer
    x = 7,313.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.