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Finding the Fourth Proportional to 6,643.28, 9,173.04 and 4,660.40

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Solution

The fourth proportional to 6,643.28, 9,173.04 and 4,660.40 is: 6,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.28 : 9,173.04 = 4,660.40 : x
  2. Step 2: Convert to fraction form
    6,643.28/9,173.04 = 4,660.40/x
  3. Step 3: Cross multiply
    6,643.28x = 9,173.04 × 4,660.40
  4. Step 4: Simplify right side
    6,643.28x = 42,750,035.62
  5. Step 5: Solve for x
    x = 42,750,035.62/6,643.28
  6. Step 6: Final answer
    x = 6,435.08

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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.