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Finding the Fourth Proportional to 9,098.69, 13,631.81 and 4,936.05

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Solution

The fourth proportional to 9,098.69, 13,631.81 and 4,936.05 is: 7,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.69 : 13,631.81 = 4,936.05 : x
  2. Step 2: Convert to fraction form
    9,098.69/13,631.81 = 4,936.05/x
  3. Step 3: Cross multiply
    9,098.69x = 13,631.81 × 4,936.05
  4. Step 4: Simplify right side
    9,098.69x = 67,287,271.07
  5. Step 5: Solve for x
    x = 67,287,271.07/9,098.69
  6. Step 6: Final answer
    x = 7,395.27

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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.