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Finding the Fourth Proportional to 6,646.65, 9,166.22 and 4,851.29

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Solution

The fourth proportional to 6,646.65, 9,166.22 and 4,851.29 is: 6,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.65 : 9,166.22 = 4,851.29 : x
  2. Step 2: Convert to fraction form
    6,646.65/9,166.22 = 4,851.29/x
  3. Step 3: Cross multiply
    6,646.65x = 9,166.22 × 4,851.29
  4. Step 4: Simplify right side
    6,646.65x = 44,467,991.42
  5. Step 5: Solve for x
    x = 44,467,991.42/6,646.65
  6. Step 6: Final answer
    x = 6,690.29

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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.