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Finding the Fourth Proportional to 6,504.32, 9,772.54 and 4,165.36

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Solution

The fourth proportional to 6,504.32, 9,772.54 and 4,165.36 is: 6,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.32 : 9,772.54 = 4,165.36 : x
  2. Step 2: Convert to fraction form
    6,504.32/9,772.54 = 4,165.36/x
  3. Step 3: Cross multiply
    6,504.32x = 9,772.54 × 4,165.36
  4. Step 4: Simplify right side
    6,504.32x = 40,706,147.21
  5. Step 5: Solve for x
    x = 40,706,147.21/6,504.32
  6. Step 6: Final answer
    x = 6,258.32

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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.