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Finding the Fourth Proportional to 7,129.92, 9,838.74 and 3,985.50

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Solution

The fourth proportional to 7,129.92, 9,838.74 and 3,985.50 is: 5,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.92 : 9,838.74 = 3,985.50 : x
  2. Step 2: Convert to fraction form
    7,129.92/9,838.74 = 3,985.50/x
  3. Step 3: Cross multiply
    7,129.92x = 9,838.74 × 3,985.50
  4. Step 4: Simplify right side
    7,129.92x = 39,212,298.27
  5. Step 5: Solve for x
    x = 39,212,298.27/7,129.92
  6. Step 6: Final answer
    x = 5,499.68

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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.