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Finding the Fourth Proportional to 9,336.21, 13,971.41 and 5,827.87

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Solution

The fourth proportional to 9,336.21, 13,971.41 and 5,827.87 is: 8,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.21 : 13,971.41 = 5,827.87 : x
  2. Step 2: Convert to fraction form
    9,336.21/13,971.41 = 5,827.87/x
  3. Step 3: Cross multiply
    9,336.21x = 13,971.41 × 5,827.87
  4. Step 4: Simplify right side
    9,336.21x = 81,423,462.20
  5. Step 5: Solve for x
    x = 81,423,462.20/9,336.21
  6. Step 6: Final answer
    x = 8,721.25

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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.