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Finding the Fourth Proportional to 9,829.86, 14,744.94 and 3,985.14

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Solution

The fourth proportional to 9,829.86, 14,744.94 and 3,985.14 is: 5,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.86 : 14,744.94 = 3,985.14 : x
  2. Step 2: Convert to fraction form
    9,829.86/14,744.94 = 3,985.14/x
  3. Step 3: Cross multiply
    9,829.86x = 14,744.94 × 3,985.14
  4. Step 4: Simplify right side
    9,829.86x = 58,760,650.19
  5. Step 5: Solve for x
    x = 58,760,650.19/9,829.86
  6. Step 6: Final answer
    x = 5,977.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.