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Finding the Fourth Proportional to 6,564.57, 9,846.86 and 1,947.93

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Solution

The fourth proportional to 6,564.57, 9,846.86 and 1,947.93 is: 2,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.57 : 9,846.86 = 1,947.93 : x
  2. Step 2: Convert to fraction form
    6,564.57/9,846.86 = 1,947.93/x
  3. Step 3: Cross multiply
    6,564.57x = 9,846.86 × 1,947.93
  4. Step 4: Simplify right side
    6,564.57x = 19,180,984.26
  5. Step 5: Solve for x
    x = 19,180,984.26/6,564.57
  6. Step 6: Final answer
    x = 2,921.90

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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.