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Finding the Fourth Proportional to 6,646.72, 9,969.72 and 6,564.64

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Solution

The fourth proportional to 6,646.72, 9,969.72 and 6,564.64 is: 9,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.72 : 9,969.72 = 6,564.64 : x
  2. Step 2: Convert to fraction form
    6,646.72/9,969.72 = 6,564.64/x
  3. Step 3: Cross multiply
    6,646.72x = 9,969.72 × 6,564.64
  4. Step 4: Simplify right side
    6,646.72x = 65,447,622.70
  5. Step 5: Solve for x
    x = 65,447,622.70/6,646.72
  6. Step 6: Final answer
    x = 9,846.60

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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.