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Finding the Fourth Proportional to 9,844.32, 14,816.04 and 7,392

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Solution

The fourth proportional to 9,844.32, 14,816.04 and 7,392 is: 11,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.32 : 14,816.04 = 7,392 : x
  2. Step 2: Convert to fraction form
    9,844.32/14,816.04 = 7,392/x
  3. Step 3: Cross multiply
    9,844.32x = 14,816.04 × 7,392
  4. Step 4: Simplify right side
    9,844.32x = 109,520,167.68
  5. Step 5: Solve for x
    x = 109,520,167.68/9,844.32
  6. Step 6: Final answer
    x = 11,125.21

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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.