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Finding the Fourth Proportional to 7,129.10, 9,838.08 and 3,985.29

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Solution

The fourth proportional to 7,129.10, 9,838.08 and 3,985.29 is: 5,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.10 : 9,838.08 = 3,985.29 : x
  2. Step 2: Convert to fraction form
    7,129.10/9,838.08 = 3,985.29/x
  3. Step 3: Cross multiply
    7,129.10x = 9,838.08 × 3,985.29
  4. Step 4: Simplify right side
    7,129.10x = 39,207,601.84
  5. Step 5: Solve for x
    x = 39,207,601.84/7,129.10
  6. Step 6: Final answer
    x = 5,499.65

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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.