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Finding the Fourth Proportional to 9,046.98, 13,576.89 and 4,117.26

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Solution

The fourth proportional to 9,046.98, 13,576.89 and 4,117.26 is: 6,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.98 : 13,576.89 = 4,117.26 : x
  2. Step 2: Convert to fraction form
    9,046.98/13,576.89 = 4,117.26/x
  3. Step 3: Cross multiply
    9,046.98x = 13,576.89 × 4,117.26
  4. Step 4: Simplify right side
    9,046.98x = 55,899,497.65
  5. Step 5: Solve for x
    x = 55,899,497.65/9,046.98
  6. Step 6: Final answer
    x = 6,178.80

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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.