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Finding the Fourth Proportional to 6,345.87, 9,506.56 and 3,564.11

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Solution

The fourth proportional to 6,345.87, 9,506.56 and 3,564.11 is: 5,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.87 : 9,506.56 = 3,564.11 : x
  2. Step 2: Convert to fraction form
    6,345.87/9,506.56 = 3,564.11/x
  3. Step 3: Cross multiply
    6,345.87x = 9,506.56 × 3,564.11
  4. Step 4: Simplify right side
    6,345.87x = 33,882,425.56
  5. Step 5: Solve for x
    x = 33,882,425.56/6,345.87
  6. Step 6: Final answer
    x = 5,339.29

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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.