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Finding the Fourth Proportional to 6,551.65, 9,829.55 and 2,172.18

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Solution

The fourth proportional to 6,551.65, 9,829.55 and 2,172.18 is: 3,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.65 : 9,829.55 = 2,172.18 : x
  2. Step 2: Convert to fraction form
    6,551.65/9,829.55 = 2,172.18/x
  3. Step 3: Cross multiply
    6,551.65x = 9,829.55 × 2,172.18
  4. Step 4: Simplify right side
    6,551.65x = 21,351,594.21
  5. Step 5: Solve for x
    x = 21,351,594.21/6,551.65
  6. Step 6: Final answer
    x = 3,258.96

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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.