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Finding the Fourth Proportional to 9,571.07, 14,358.67 and 2,907

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Solution

The fourth proportional to 9,571.07, 14,358.67 and 2,907 is: 4,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.07 : 14,358.67 = 2,907 : x
  2. Step 2: Convert to fraction form
    9,571.07/14,358.67 = 2,907/x
  3. Step 3: Cross multiply
    9,571.07x = 14,358.67 × 2,907
  4. Step 4: Simplify right side
    9,571.07x = 41,740,646.42
  5. Step 5: Solve for x
    x = 41,740,646.42/9,571.07
  6. Step 6: Final answer
    x = 4,361.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.