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Finding the Fourth Proportional to 6,465.44, 8,922 and 3,670.88

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Solution

The fourth proportional to 6,465.44, 8,922 and 3,670.88 is: 5,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.44 : 8,922 = 3,670.88 : x
  2. Step 2: Convert to fraction form
    6,465.44/8,922 = 3,670.88/x
  3. Step 3: Cross multiply
    6,465.44x = 8,922 × 3,670.88
  4. Step 4: Simplify right side
    6,465.44x = 32,751,591.36
  5. Step 5: Solve for x
    x = 32,751,591.36/6,465.44
  6. Step 6: Final answer
    x = 5,065.64

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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.