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Finding the Fourth Proportional to 9,264.10, 13,896.15 and 6,809.80

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Solution

The fourth proportional to 9,264.10, 13,896.15 and 6,809.80 is: 10,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.10 : 13,896.15 = 6,809.80 : x
  2. Step 2: Convert to fraction form
    9,264.10/13,896.15 = 6,809.80/x
  3. Step 3: Cross multiply
    9,264.10x = 13,896.15 × 6,809.80
  4. Step 4: Simplify right side
    9,264.10x = 94,630,002.27
  5. Step 5: Solve for x
    x = 94,630,002.27/9,264.10
  6. Step 6: Final answer
    x = 10,214.70

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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.