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Finding the Fourth Proportional to 9,491.42, 14,238.50 and 2,918.16

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Solution

The fourth proportional to 9,491.42, 14,238.50 and 2,918.16 is: 4,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.42 : 14,238.50 = 2,918.16 : x
  2. Step 2: Convert to fraction form
    9,491.42/14,238.50 = 2,918.16/x
  3. Step 3: Cross multiply
    9,491.42x = 14,238.50 × 2,918.16
  4. Step 4: Simplify right side
    9,491.42x = 41,550,206.57
  5. Step 5: Solve for x
    x = 41,550,206.57/9,491.42
  6. Step 6: Final answer
    x = 4,377.66

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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.