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Finding the Fourth Proportional to 6,392.18, 9,588.31 and 2,232.16

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Solution

The fourth proportional to 6,392.18, 9,588.31 and 2,232.16 is: 3,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.18 : 9,588.31 = 2,232.16 : x
  2. Step 2: Convert to fraction form
    6,392.18/9,588.31 = 2,232.16/x
  3. Step 3: Cross multiply
    6,392.18x = 9,588.31 × 2,232.16
  4. Step 4: Simplify right side
    6,392.18x = 21,402,612.50
  5. Step 5: Solve for x
    x = 21,402,612.50/6,392.18
  6. Step 6: Final answer
    x = 3,348.25

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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.