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Finding the Fourth Proportional to 6,465.65, 8,922.60 and 3,671.15

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Solution

The fourth proportional to 6,465.65, 8,922.60 and 3,671.15 is: 5,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.65 : 8,922.60 = 3,671.15 : x
  2. Step 2: Convert to fraction form
    6,465.65/8,922.60 = 3,671.15/x
  3. Step 3: Cross multiply
    6,465.65x = 8,922.60 × 3,671.15
  4. Step 4: Simplify right side
    6,465.65x = 32,756,140.02
  5. Step 5: Solve for x
    x = 32,756,140.02/6,465.65
  6. Step 6: Final answer
    x = 5,066.18

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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.