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Finding the Fourth Proportional to 9,622.09, 13,278.53 and 5,643.27

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Solution

The fourth proportional to 9,622.09, 13,278.53 and 5,643.27 is: 7,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.09 : 13,278.53 = 5,643.27 : x
  2. Step 2: Convert to fraction form
    9,622.09/13,278.53 = 5,643.27/x
  3. Step 3: Cross multiply
    9,622.09x = 13,278.53 × 5,643.27
  4. Step 4: Simplify right side
    9,622.09x = 74,934,329.99
  5. Step 5: Solve for x
    x = 74,934,329.99/9,622.09
  6. Step 6: Final answer
    x = 7,787.74

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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.