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Finding the Fourth Proportional to 6,643.20, 9,948.60 and 3,176.40

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Solution

The fourth proportional to 6,643.20, 9,948.60 and 3,176.40 is: 4,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.20 : 9,948.60 = 3,176.40 : x
  2. Step 2: Convert to fraction form
    6,643.20/9,948.60 = 3,176.40/x
  3. Step 3: Cross multiply
    6,643.20x = 9,948.60 × 3,176.40
  4. Step 4: Simplify right side
    6,643.20x = 31,600,733.04
  5. Step 5: Solve for x
    x = 31,600,733.04/6,643.20
  6. Step 6: Final answer
    x = 4,756.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.