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Finding the Fourth Proportional to 9,791.10, 14,688.52 and 3,219.18

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Solution

The fourth proportional to 9,791.10, 14,688.52 and 3,219.18 is: 4,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.10 : 14,688.52 = 3,219.18 : x
  2. Step 2: Convert to fraction form
    9,791.10/14,688.52 = 3,219.18/x
  3. Step 3: Cross multiply
    9,791.10x = 14,688.52 × 3,219.18
  4. Step 4: Simplify right side
    9,791.10x = 47,284,989.81
  5. Step 5: Solve for x
    x = 47,284,989.81/9,791.10
  6. Step 6: Final answer
    x = 4,829.38

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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.