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Finding the Fourth Proportional to 9,312.27, 13,977.59 and 6,840.15

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Solution

The fourth proportional to 9,312.27, 13,977.59 and 6,840.15 is: 10,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.27 : 13,977.59 = 6,840.15 : x
  2. Step 2: Convert to fraction form
    9,312.27/13,977.59 = 6,840.15/x
  3. Step 3: Cross multiply
    9,312.27x = 13,977.59 × 6,840.15
  4. Step 4: Simplify right side
    9,312.27x = 95,608,778.04
  5. Step 5: Solve for x
    x = 95,608,778.04/9,312.27
  6. Step 6: Final answer
    x = 10,266.97

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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.