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Finding the Fourth Proportional to 9,441.39, 14,218.29 and 8,223.51

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Solution

The fourth proportional to 9,441.39, 14,218.29 and 8,223.51 is: 12,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.39 : 14,218.29 = 8,223.51 : x
  2. Step 2: Convert to fraction form
    9,441.39/14,218.29 = 8,223.51/x
  3. Step 3: Cross multiply
    9,441.39x = 14,218.29 × 8,223.51
  4. Step 4: Simplify right side
    9,441.39x = 116,924,303.32
  5. Step 5: Solve for x
    x = 116,924,303.32/9,441.39
  6. Step 6: Final answer
    x = 12,384.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.