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Finding the Fourth Proportional to 6,646.02, 9,171.63 and 3,813.72

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Solution

The fourth proportional to 6,646.02, 9,171.63 and 3,813.72 is: 5,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.02 : 9,171.63 = 3,813.72 : x
  2. Step 2: Convert to fraction form
    6,646.02/9,171.63 = 3,813.72/x
  3. Step 3: Cross multiply
    6,646.02x = 9,171.63 × 3,813.72
  4. Step 4: Simplify right side
    6,646.02x = 34,978,028.76
  5. Step 5: Solve for x
    x = 34,978,028.76/6,646.02
  6. Step 6: Final answer
    x = 5,263.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.