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Finding the Fourth Proportional to 6,465.84, 8,923.62 and 3,633.22

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Solution

The fourth proportional to 6,465.84, 8,923.62 and 3,633.22 is: 5,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.84 : 8,923.62 = 3,633.22 : x
  2. Step 2: Convert to fraction form
    6,465.84/8,923.62 = 3,633.22/x
  3. Step 3: Cross multiply
    6,465.84x = 8,923.62 × 3,633.22
  4. Step 4: Simplify right side
    6,465.84x = 32,421,474.66
  5. Step 5: Solve for x
    x = 32,421,474.66/6,465.84
  6. Step 6: Final answer
    x = 5,014.27

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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.