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Finding the Fourth Proportional to 6,589.74, 9,873.67 and 4,637.84

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Solution

The fourth proportional to 6,589.74, 9,873.67 and 4,637.84 is: 6,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.74 : 9,873.67 = 4,637.84 : x
  2. Step 2: Convert to fraction form
    6,589.74/9,873.67 = 4,637.84/x
  3. Step 3: Cross multiply
    6,589.74x = 9,873.67 × 4,637.84
  4. Step 4: Simplify right side
    6,589.74x = 45,792,537.95
  5. Step 5: Solve for x
    x = 45,792,537.95/6,589.74
  6. Step 6: Final answer
    x = 6,949.07

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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.