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Finding the Fourth Proportional to 9,622.54, 13,281.32 and 5,644.94

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Solution

The fourth proportional to 9,622.54, 13,281.32 and 5,644.94 is: 7,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.54 : 13,281.32 = 5,644.94 : x
  2. Step 2: Convert to fraction form
    9,622.54/13,281.32 = 5,644.94/x
  3. Step 3: Cross multiply
    9,622.54x = 13,281.32 × 5,644.94
  4. Step 4: Simplify right side
    9,622.54x = 74,972,254.52
  5. Step 5: Solve for x
    x = 74,972,254.52/9,622.54
  6. Step 6: Final answer
    x = 7,791.32

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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.