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Finding the Fourth Proportional to 6,165.60, 9,268.86 and 5,709.03

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Solution

The fourth proportional to 6,165.60, 9,268.86 and 5,709.03 is: 8,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.60 : 9,268.86 = 5,709.03 : x
  2. Step 2: Convert to fraction form
    6,165.60/9,268.86 = 5,709.03/x
  3. Step 3: Cross multiply
    6,165.60x = 9,268.86 × 5,709.03
  4. Step 4: Simplify right side
    6,165.60x = 52,916,199.81
  5. Step 5: Solve for x
    x = 52,916,199.81/6,165.60
  6. Step 6: Final answer
    x = 8,582.49

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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.