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Finding the Fourth Proportional to 6,555.16, 9,835.92 and 3,268.74

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Solution

The fourth proportional to 6,555.16, 9,835.92 and 3,268.74 is: 4,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.16 : 9,835.92 = 3,268.74 : x
  2. Step 2: Convert to fraction form
    6,555.16/9,835.92 = 3,268.74/x
  3. Step 3: Cross multiply
    6,555.16x = 9,835.92 × 3,268.74
  4. Step 4: Simplify right side
    6,555.16x = 32,151,065.14
  5. Step 5: Solve for x
    x = 32,151,065.14/6,555.16
  6. Step 6: Final answer
    x = 4,904.70

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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.