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Finding the Fourth Proportional to 6,465.69, 8,922.00 and 3,632.62

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Solution

The fourth proportional to 6,465.69, 8,922.00 and 3,632.62 is: 5,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.69 : 8,922.00 = 3,632.62 : x
  2. Step 2: Convert to fraction form
    6,465.69/8,922.00 = 3,632.62/x
  3. Step 3: Cross multiply
    6,465.69x = 8,922.00 × 3,632.62
  4. Step 4: Simplify right side
    6,465.69x = 32,410,199.71
  5. Step 5: Solve for x
    x = 32,410,199.71/6,465.69
  6. Step 6: Final answer
    x = 5,012.64

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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.