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Finding the Fourth Proportional to 9,332.35, 13,984.80 and 5,384.80

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Solution

The fourth proportional to 9,332.35, 13,984.80 and 5,384.80 is: 8,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.35 : 13,984.80 = 5,384.80 : x
  2. Step 2: Convert to fraction form
    9,332.35/13,984.80 = 5,384.80/x
  3. Step 3: Cross multiply
    9,332.35x = 13,984.80 × 5,384.80
  4. Step 4: Simplify right side
    9,332.35x = 75,305,351.04
  5. Step 5: Solve for x
    x = 75,305,351.04/9,332.35
  6. Step 6: Final answer
    x = 8,069.28

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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.