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Finding the Fourth Proportional to 6,564.02, 9,846.64 and 2,614.32

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Solution

The fourth proportional to 6,564.02, 9,846.64 and 2,614.32 is: 3,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.02 : 9,846.64 = 2,614.32 : x
  2. Step 2: Convert to fraction form
    6,564.02/9,846.64 = 2,614.32/x
  3. Step 3: Cross multiply
    6,564.02x = 9,846.64 × 2,614.32
  4. Step 4: Simplify right side
    6,564.02x = 25,742,308.08
  5. Step 5: Solve for x
    x = 25,742,308.08/6,564.02
  6. Step 6: Final answer
    x = 3,921.73

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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.