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Finding the Fourth Proportional to 9,388.16, 14,084.16 and 3,232

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Solution

The fourth proportional to 9,388.16, 14,084.16 and 3,232 is: 4,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.16 : 14,084.16 = 3,232 : x
  2. Step 2: Convert to fraction form
    9,388.16/14,084.16 = 3,232/x
  3. Step 3: Cross multiply
    9,388.16x = 14,084.16 × 3,232
  4. Step 4: Simplify right side
    9,388.16x = 45,520,005.12
  5. Step 5: Solve for x
    x = 45,520,005.12/9,388.16
  6. Step 6: Final answer
    x = 4,848.66

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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.