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Finding the Fourth Proportional to 6,564.12, 9,830.48 and 3,635.16

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Solution

The fourth proportional to 6,564.12, 9,830.48 and 3,635.16 is: 5,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.12 : 9,830.48 = 3,635.16 : x
  2. Step 2: Convert to fraction form
    6,564.12/9,830.48 = 3,635.16/x
  3. Step 3: Cross multiply
    6,564.12x = 9,830.48 × 3,635.16
  4. Step 4: Simplify right side
    6,564.12x = 35,735,367.68
  5. Step 5: Solve for x
    x = 35,735,367.68/6,564.12
  6. Step 6: Final answer
    x = 5,444.05

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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.