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Finding the Fourth Proportional to 9,894.66, 14,844.42 and 4,952.04

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Solution

The fourth proportional to 9,894.66, 14,844.42 and 4,952.04 is: 7,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.66 : 14,844.42 = 4,952.04 : x
  2. Step 2: Convert to fraction form
    9,894.66/14,844.42 = 4,952.04/x
  3. Step 3: Cross multiply
    9,894.66x = 14,844.42 × 4,952.04
  4. Step 4: Simplify right side
    9,894.66x = 73,510,161.62
  5. Step 5: Solve for x
    x = 73,510,161.62/9,894.66
  6. Step 6: Final answer
    x = 7,429.28

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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.