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Finding the Fourth Proportional to 6,465.21, 8,922.80 and 3,946.78

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Solution

The fourth proportional to 6,465.21, 8,922.80 and 3,946.78 is: 5,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.21 : 8,922.80 = 3,946.78 : x
  2. Step 2: Convert to fraction form
    6,465.21/8,922.80 = 3,946.78/x
  3. Step 3: Cross multiply
    6,465.21x = 8,922.80 × 3,946.78
  4. Step 4: Simplify right side
    6,465.21x = 35,216,328.58
  5. Step 5: Solve for x
    x = 35,216,328.58/6,465.21
  6. Step 6: Final answer
    x = 5,447.05

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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.