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Finding the Fourth Proportional to 8,337.27, 11,509.62 and 6,444.59

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Solution

The fourth proportional to 8,337.27, 11,509.62 and 6,444.59 is: 8,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,337.27 : 11,509.62 = 6,444.59 : x
  2. Step 2: Convert to fraction form
    8,337.27/11,509.62 = 6,444.59/x
  3. Step 3: Cross multiply
    8,337.27x = 11,509.62 × 6,444.59
  4. Step 4: Simplify right side
    8,337.27x = 74,174,724.41
  5. Step 5: Solve for x
    x = 74,174,724.41/8,337.27
  6. Step 6: Final answer
    x = 8,896.76

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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.