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Finding the Fourth Proportional to 9,584.06, 13,226.01 and 5,392.31

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Solution

The fourth proportional to 9,584.06, 13,226.01 and 5,392.31 is: 7,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.06 : 13,226.01 = 5,392.31 : x
  2. Step 2: Convert to fraction form
    9,584.06/13,226.01 = 5,392.31/x
  3. Step 3: Cross multiply
    9,584.06x = 13,226.01 × 5,392.31
  4. Step 4: Simplify right side
    9,584.06x = 71,318,779.05
  5. Step 5: Solve for x
    x = 71,318,779.05/9,584.06
  6. Step 6: Final answer
    x = 7,441.39

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Why These Related Problems?

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