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Finding the Fourth Proportional to 11,564.17, 15,944.00 and 9,437.54

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Solution

The fourth proportional to 11,564.17, 15,944.00 and 9,437.54 is: 13,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.17 : 15,944.00 = 9,437.54 : x
  2. Step 2: Convert to fraction form
    11,564.17/15,944.00 = 9,437.54/x
  3. Step 3: Cross multiply
    11,564.17x = 15,944.00 × 9,437.54
  4. Step 4: Simplify right side
    11,564.17x = 150,472,010.85
  5. Step 5: Solve for x
    x = 150,472,010.85/11,564.17
  6. Step 6: Final answer
    x = 13,011.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.