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Finding the Fourth Proportional to 37,896.34, 56,844.28 and 9,816.32

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Solution

The fourth proportional to 37,896.34, 56,844.28 and 9,816.32 is: 14,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,896.34 : 56,844.28 = 9,816.32 : x
  2. Step 2: Convert to fraction form
    37,896.34/56,844.28 = 9,816.32/x
  3. Step 3: Cross multiply
    37,896.34x = 56,844.28 × 9,816.32
  4. Step 4: Simplify right side
    37,896.34x = 558,001,642.65
  5. Step 5: Solve for x
    x = 558,001,642.65/37,896.34
  6. Step 6: Final answer
    x = 14,724.42

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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.