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Finding the Fourth Proportional to 9,588.67, 13,229.19 and 5,606.96

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Solution

The fourth proportional to 9,588.67, 13,229.19 and 5,606.96 is: 7,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.67 : 13,229.19 = 5,606.96 : x
  2. Step 2: Convert to fraction form
    9,588.67/13,229.19 = 5,606.96/x
  3. Step 3: Cross multiply
    9,588.67x = 13,229.19 × 5,606.96
  4. Step 4: Simplify right side
    9,588.67x = 74,175,547.43
  5. Step 5: Solve for x
    x = 74,175,547.43/9,588.67
  6. Step 6: Final answer
    x = 7,735.75

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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.