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Finding the Fourth Proportional to 9,336.58, 14,006.79 and 6,416.26

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Solution

The fourth proportional to 9,336.58, 14,006.79 and 6,416.26 is: 9,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.58 : 14,006.79 = 6,416.26 : x
  2. Step 2: Convert to fraction form
    9,336.58/14,006.79 = 6,416.26/x
  3. Step 3: Cross multiply
    9,336.58x = 14,006.79 × 6,416.26
  4. Step 4: Simplify right side
    9,336.58x = 89,871,206.41
  5. Step 5: Solve for x
    x = 89,871,206.41/9,336.58
  6. Step 6: Final answer
    x = 9,625.71

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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.