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Finding the Fourth Proportional to 9,842.21, 14,776.20 and 5,846.91

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Solution

The fourth proportional to 9,842.21, 14,776.20 and 5,846.91 is: 8,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.21 : 14,776.20 = 5,846.91 : x
  2. Step 2: Convert to fraction form
    9,842.21/14,776.20 = 5,846.91/x
  3. Step 3: Cross multiply
    9,842.21x = 14,776.20 × 5,846.91
  4. Step 4: Simplify right side
    9,842.21x = 86,395,082.31
  5. Step 5: Solve for x
    x = 86,395,082.31/9,842.21
  6. Step 6: Final answer
    x = 8,778.02

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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.