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Finding the Fourth Proportional to 8,459.37, 11,685.11 and 6,494.22

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Solution

The fourth proportional to 8,459.37, 11,685.11 and 6,494.22 is: 8,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.37 : 11,685.11 = 6,494.22 : x
  2. Step 2: Convert to fraction form
    8,459.37/11,685.11 = 6,494.22/x
  3. Step 3: Cross multiply
    8,459.37x = 11,685.11 × 6,494.22
  4. Step 4: Simplify right side
    8,459.37x = 75,885,642.59
  5. Step 5: Solve for x
    x = 75,885,642.59/8,459.37
  6. Step 6: Final answer
    x = 8,970.60

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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.