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Finding the Fourth Proportional to 9,105.10, 13,647.94 and 6,500.14

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Solution

The fourth proportional to 9,105.10, 13,647.94 and 6,500.14 is: 9,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.10 : 13,647.94 = 6,500.14 : x
  2. Step 2: Convert to fraction form
    9,105.10/13,647.94 = 6,500.14/x
  3. Step 3: Cross multiply
    9,105.10x = 13,647.94 × 6,500.14
  4. Step 4: Simplify right side
    9,105.10x = 88,713,520.71
  5. Step 5: Solve for x
    x = 88,713,520.71/9,105.10
  6. Step 6: Final answer
    x = 9,743.28

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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.