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Finding the Fourth Proportional to 6,466, 8,922.66 and 3,813.28

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Solution

The fourth proportional to 6,466, 8,922.66 and 3,813.28 is: 5,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466 : 8,922.66 = 3,813.28 : x
  2. Step 2: Convert to fraction form
    6,466/8,922.66 = 3,813.28/x
  3. Step 3: Cross multiply
    6,466x = 8,922.66 × 3,813.28
  4. Step 4: Simplify right side
    6,466x = 34,024,600.92
  5. Step 5: Solve for x
    x = 34,024,600.92/6,466
  6. Step 6: Final answer
    x = 5,262.08

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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.