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Finding the Fourth Proportional to 9,807.44, 13,524.99 and 6,264.50

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Solution

The fourth proportional to 9,807.44, 13,524.99 and 6,264.50 is: 8,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.44 : 13,524.99 = 6,264.50 : x
  2. Step 2: Convert to fraction form
    9,807.44/13,524.99 = 6,264.50/x
  3. Step 3: Cross multiply
    9,807.44x = 13,524.99 × 6,264.50
  4. Step 4: Simplify right side
    9,807.44x = 84,727,299.86
  5. Step 5: Solve for x
    x = 84,727,299.86/9,807.44
  6. Step 6: Final answer
    x = 8,639.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.