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Finding the Fourth Proportional to 9,161.24, 12,642.50 and 4,969.50

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Solution

The fourth proportional to 9,161.24, 12,642.50 and 4,969.50 is: 6,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.24 : 12,642.50 = 4,969.50 : x
  2. Step 2: Convert to fraction form
    9,161.24/12,642.50 = 4,969.50/x
  3. Step 3: Cross multiply
    9,161.24x = 12,642.50 × 4,969.50
  4. Step 4: Simplify right side
    9,161.24x = 62,826,903.75
  5. Step 5: Solve for x
    x = 62,826,903.75/9,161.24
  6. Step 6: Final answer
    x = 6,857.90

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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.