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Finding the Fourth Proportional to 7,097.31, 10,645.97 and 6,064.29

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Solution

The fourth proportional to 7,097.31, 10,645.97 and 6,064.29 is: 9,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.31 : 10,645.97 = 6,064.29 : x
  2. Step 2: Convert to fraction form
    7,097.31/10,645.97 = 6,064.29/x
  3. Step 3: Cross multiply
    7,097.31x = 10,645.97 × 6,064.29
  4. Step 4: Simplify right side
    7,097.31x = 64,560,219.09
  5. Step 5: Solve for x
    x = 64,560,219.09/7,097.31
  6. Step 6: Final answer
    x = 9,096.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.