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Finding the Fourth Proportional to 9,463.80, 13,223.40 and 9,463.80

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Solution

The fourth proportional to 9,463.80, 13,223.40 and 9,463.80 is: 13,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.80 : 13,223.40 = 9,463.80 : x
  2. Step 2: Convert to fraction form
    9,463.80/13,223.40 = 9,463.80/x
  3. Step 3: Cross multiply
    9,463.80x = 13,223.40 × 9,463.80
  4. Step 4: Simplify right side
    9,463.80x = 125,143,612.92
  5. Step 5: Solve for x
    x = 125,143,612.92/9,463.80
  6. Step 6: Final answer
    x = 13,223.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.