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Finding the Fourth Proportional to 7,096.09, 9,789.24 and 5,513.35

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Solution

The fourth proportional to 7,096.09, 9,789.24 and 5,513.35 is: 7,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.09 : 9,789.24 = 5,513.35 : x
  2. Step 2: Convert to fraction form
    7,096.09/9,789.24 = 5,513.35/x
  3. Step 3: Cross multiply
    7,096.09x = 9,789.24 × 5,513.35
  4. Step 4: Simplify right side
    7,096.09x = 53,971,506.35
  5. Step 5: Solve for x
    x = 53,971,506.35/7,096.09
  6. Step 6: Final answer
    x = 7,605.81

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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.