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Finding the Fourth Proportional to 6,465.40, 8,922.36 and 3,633.40

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Solution

The fourth proportional to 6,465.40, 8,922.36 and 3,633.40 is: 5,014.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.40 : 8,922.36 = 3,633.40 : x
  2. Step 2: Convert to fraction form
    6,465.40/8,922.36 = 3,633.40/x
  3. Step 3: Cross multiply
    6,465.40x = 8,922.36 × 3,633.40
  4. Step 4: Simplify right side
    6,465.40x = 32,418,502.82
  5. Step 5: Solve for x
    x = 32,418,502.82/6,465.40
  6. Step 6: Final answer
    x = 5,014.15

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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.