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Finding the Fourth Proportional to 9,491.93, 14,239.25 and 2,918.66

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Solution

The fourth proportional to 9,491.93, 14,239.25 and 2,918.66 is: 4,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.93 : 14,239.25 = 2,918.66 : x
  2. Step 2: Convert to fraction form
    9,491.93/14,239.25 = 2,918.66/x
  3. Step 3: Cross multiply
    9,491.93x = 14,239.25 × 2,918.66
  4. Step 4: Simplify right side
    9,491.93x = 41,559,514.81
  5. Step 5: Solve for x
    x = 41,559,514.81/9,491.93
  6. Step 6: Final answer
    x = 4,378.41

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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.