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Finding the Fourth Proportional to 9,844.52, 14,763.10 and 3,999.16

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Solution

The fourth proportional to 9,844.52, 14,763.10 and 3,999.16 is: 5,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.52 : 14,763.10 = 3,999.16 : x
  2. Step 2: Convert to fraction form
    9,844.52/14,763.10 = 3,999.16/x
  3. Step 3: Cross multiply
    9,844.52x = 14,763.10 × 3,999.16
  4. Step 4: Simplify right side
    9,844.52x = 59,039,999.00
  5. Step 5: Solve for x
    x = 59,039,999.00/9,844.52
  6. Step 6: Final answer
    x = 5,997.25

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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.