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Finding the Fourth Proportional to 9,491.52, 14,238.64 and 2,918.25

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Solution

The fourth proportional to 9,491.52, 14,238.64 and 2,918.25 is: 4,377.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.52 : 14,238.64 = 2,918.25 : x
  2. Step 2: Convert to fraction form
    9,491.52/14,238.64 = 2,918.25/x
  3. Step 3: Cross multiply
    9,491.52x = 14,238.64 × 2,918.25
  4. Step 4: Simplify right side
    9,491.52x = 41,551,951.81
  5. Step 5: Solve for x
    x = 41,551,951.81/9,491.52
  6. Step 6: Final answer
    x = 4,377.80

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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.