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Finding the Fourth Proportional to 9,491.61, 14,237.64 and 3,251.61

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Solution

The fourth proportional to 9,491.61, 14,237.64 and 3,251.61 is: 4,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.61 : 14,237.64 = 3,251.61 : x
  2. Step 2: Convert to fraction form
    9,491.61/14,237.64 = 3,251.61/x
  3. Step 3: Cross multiply
    9,491.61x = 14,237.64 × 3,251.61
  4. Step 4: Simplify right side
    9,491.61x = 46,295,252.60
  5. Step 5: Solve for x
    x = 46,295,252.60/9,491.61
  6. Step 6: Final answer
    x = 4,877.49

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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.