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Finding the Fourth Proportional to 6,500.84, 8,970.15 and 3,667.99

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Solution

The fourth proportional to 6,500.84, 8,970.15 and 3,667.99 is: 5,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.84 : 8,970.15 = 3,667.99 : x
  2. Step 2: Convert to fraction form
    6,500.84/8,970.15 = 3,667.99/x
  3. Step 3: Cross multiply
    6,500.84x = 8,970.15 × 3,667.99
  4. Step 4: Simplify right side
    6,500.84x = 32,902,375.65
  5. Step 5: Solve for x
    x = 32,902,375.65/6,500.84
  6. Step 6: Final answer
    x = 5,061.25

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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.