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Finding the Fourth Proportional to 7,129.12, 9,838.56 and 3,985.24

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Solution

The fourth proportional to 7,129.12, 9,838.56 and 3,985.24 is: 5,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.12 : 9,838.56 = 3,985.24 : x
  2. Step 2: Convert to fraction form
    7,129.12/9,838.56 = 3,985.24/x
  3. Step 3: Cross multiply
    7,129.12x = 9,838.56 × 3,985.24
  4. Step 4: Simplify right side
    7,129.12x = 39,209,022.85
  5. Step 5: Solve for x
    x = 39,209,022.85/7,129.12
  6. Step 6: Final answer
    x = 5,499.84

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