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Finding the Fourth Proportional to 9,584.93, 13,226.96 and 5,336.01

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Solution

The fourth proportional to 9,584.93, 13,226.96 and 5,336.01 is: 7,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.93 : 13,226.96 = 5,336.01 : x
  2. Step 2: Convert to fraction form
    9,584.93/13,226.96 = 5,336.01/x
  3. Step 3: Cross multiply
    9,584.93x = 13,226.96 × 5,336.01
  4. Step 4: Simplify right side
    9,584.93x = 70,579,204.17
  5. Step 5: Solve for x
    x = 70,579,204.17/9,584.93
  6. Step 6: Final answer
    x = 7,363.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.