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Finding the Fourth Proportional to 9,161.73, 12,643.16 and 4,969.98

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Solution

The fourth proportional to 9,161.73, 12,643.16 and 4,969.98 is: 6,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.73 : 12,643.16 = 4,969.98 : x
  2. Step 2: Convert to fraction form
    9,161.73/12,643.16 = 4,969.98/x
  3. Step 3: Cross multiply
    9,161.73x = 12,643.16 × 4,969.98
  4. Step 4: Simplify right side
    9,161.73x = 62,836,264.76
  5. Step 5: Solve for x
    x = 62,836,264.76/9,161.73
  6. Step 6: Final answer
    x = 6,858.56

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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.