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Finding the Fourth Proportional to 9,496.08, 14,241.62 and 6,533.90

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Solution

The fourth proportional to 9,496.08, 14,241.62 and 6,533.90 is: 9,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.08 : 14,241.62 = 6,533.90 : x
  2. Step 2: Convert to fraction form
    9,496.08/14,241.62 = 6,533.90/x
  3. Step 3: Cross multiply
    9,496.08x = 14,241.62 × 6,533.90
  4. Step 4: Simplify right side
    9,496.08x = 93,053,320.92
  5. Step 5: Solve for x
    x = 93,053,320.92/9,496.08
  6. Step 6: Final answer
    x = 9,799.13

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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.