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Finding the Fourth Proportional to 9,491.66, 14,240.54 and 4,561.66

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Solution

The fourth proportional to 9,491.66, 14,240.54 and 4,561.66 is: 6,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.66 : 14,240.54 = 4,561.66 : x
  2. Step 2: Convert to fraction form
    9,491.66/14,240.54 = 4,561.66/x
  3. Step 3: Cross multiply
    9,491.66x = 14,240.54 × 4,561.66
  4. Step 4: Simplify right side
    9,491.66x = 64,960,407.69
  5. Step 5: Solve for x
    x = 64,960,407.69/9,491.66
  6. Step 6: Final answer
    x = 6,843.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.