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Finding the Fourth Proportional to 6,191.69, 9,293.72 and 2,907.14

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Solution

The fourth proportional to 6,191.69, 9,293.72 and 2,907.14 is: 4,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.69 : 9,293.72 = 2,907.14 : x
  2. Step 2: Convert to fraction form
    6,191.69/9,293.72 = 2,907.14/x
  3. Step 3: Cross multiply
    6,191.69x = 9,293.72 × 2,907.14
  4. Step 4: Simplify right side
    6,191.69x = 27,018,084.16
  5. Step 5: Solve for x
    x = 27,018,084.16/6,191.69
  6. Step 6: Final answer
    x = 4,363.61

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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.