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Finding the Fourth Proportional to 9,584.09, 13,225.91 and 5,335.33

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Solution

The fourth proportional to 9,584.09, 13,225.91 and 5,335.33 is: 7,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.09 : 13,225.91 = 5,335.33 : x
  2. Step 2: Convert to fraction form
    9,584.09/13,225.91 = 5,335.33/x
  3. Step 3: Cross multiply
    9,584.09x = 13,225.91 × 5,335.33
  4. Step 4: Simplify right side
    9,584.09x = 70,564,594.40
  5. Step 5: Solve for x
    x = 70,564,594.40/9,584.09
  6. Step 6: Final answer
    x = 7,362.68

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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.