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Finding the Fourth Proportional to 9,237.30, 13,856.03 and 2,663.50

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Solution

The fourth proportional to 9,237.30, 13,856.03 and 2,663.50 is: 3,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.30 : 13,856.03 = 2,663.50 : x
  2. Step 2: Convert to fraction form
    9,237.30/13,856.03 = 2,663.50/x
  3. Step 3: Cross multiply
    9,237.30x = 13,856.03 × 2,663.50
  4. Step 4: Simplify right side
    9,237.30x = 36,905,535.91
  5. Step 5: Solve for x
    x = 36,905,535.91/9,237.30
  6. Step 6: Final answer
    x = 3,995.27

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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.