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Finding the Fourth Proportional to 9,847.82, 14,777.42 and 3,925.26

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Solution

The fourth proportional to 9,847.82, 14,777.42 and 3,925.26 is: 5,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.82 : 14,777.42 = 3,925.26 : x
  2. Step 2: Convert to fraction form
    9,847.82/14,777.42 = 3,925.26/x
  3. Step 3: Cross multiply
    9,847.82x = 14,777.42 × 3,925.26
  4. Step 4: Simplify right side
    9,847.82x = 58,005,215.63
  5. Step 5: Solve for x
    x = 58,005,215.63/9,847.82
  6. Step 6: Final answer
    x = 5,890.16

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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.