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Finding the Fourth Proportional to 9,838.50, 14,747.07 and 4,844.31

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Solution

The fourth proportional to 9,838.50, 14,747.07 and 4,844.31 is: 7,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.50 : 14,747.07 = 4,844.31 : x
  2. Step 2: Convert to fraction form
    9,838.50/14,747.07 = 4,844.31/x
  3. Step 3: Cross multiply
    9,838.50x = 14,747.07 × 4,844.31
  4. Step 4: Simplify right side
    9,838.50x = 71,439,354.45
  5. Step 5: Solve for x
    x = 71,439,354.45/9,838.50
  6. Step 6: Final answer
    x = 7,261.20

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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.