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Finding the Fourth Proportional to 9,323.07, 13,968.21 and 8,768.13

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Solution

The fourth proportional to 9,323.07, 13,968.21 and 8,768.13 is: 13,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.07 : 13,968.21 = 8,768.13 : x
  2. Step 2: Convert to fraction form
    9,323.07/13,968.21 = 8,768.13/x
  3. Step 3: Cross multiply
    9,323.07x = 13,968.21 × 8,768.13
  4. Step 4: Simplify right side
    9,323.07x = 122,475,081.15
  5. Step 5: Solve for x
    x = 122,475,081.15/9,323.07
  6. Step 6: Final answer
    x = 13,136.78

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1.5x scale

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.