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Finding the Fourth Proportional to 27,795.69, 41,697.85 and 9,332.01

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Solution

The fourth proportional to 27,795.69, 41,697.85 and 9,332.01 is: 13,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,795.69 : 41,697.85 = 9,332.01 : x
  2. Step 2: Convert to fraction form
    27,795.69/41,697.85 = 9,332.01/x
  3. Step 3: Cross multiply
    27,795.69x = 41,697.85 × 9,332.01
  4. Step 4: Simplify right side
    27,795.69x = 389,124,753.18
  5. Step 5: Solve for x
    x = 389,124,753.18/27,795.69
  6. Step 6: Final answer
    x = 13,999.46

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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.