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Finding the Fourth Proportional to 9,190.97, 12,683.64 and 4,999.22

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Solution

The fourth proportional to 9,190.97, 12,683.64 and 4,999.22 is: 6,898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.97 : 12,683.64 = 4,999.22 : x
  2. Step 2: Convert to fraction form
    9,190.97/12,683.64 = 4,999.22/x
  3. Step 3: Cross multiply
    9,190.97x = 12,683.64 × 4,999.22
  4. Step 4: Simplify right side
    9,190.97x = 63,408,281.53
  5. Step 5: Solve for x
    x = 63,408,281.53/9,190.97
  6. Step 6: Final answer
    x = 6,898.98

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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.