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Finding the Fourth Proportional to 9,491.86, 13,099.50 and 6,985.45

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Solution

The fourth proportional to 9,491.86, 13,099.50 and 6,985.45 is: 9,640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.86 : 13,099.50 = 6,985.45 : x
  2. Step 2: Convert to fraction form
    9,491.86/13,099.50 = 6,985.45/x
  3. Step 3: Cross multiply
    9,491.86x = 13,099.50 × 6,985.45
  4. Step 4: Simplify right side
    9,491.86x = 91,505,902.28
  5. Step 5: Solve for x
    x = 91,505,902.28/9,491.86
  6. Step 6: Final answer
    x = 9,640.46

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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.