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Finding the Fourth Proportional to 9,627.64, 13,285.56 and 5,649.46

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Solution

The fourth proportional to 9,627.64, 13,285.56 and 5,649.46 is: 7,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.64 : 13,285.56 = 5,649.46 : x
  2. Step 2: Convert to fraction form
    9,627.64/13,285.56 = 5,649.46/x
  3. Step 3: Cross multiply
    9,627.64x = 13,285.56 × 5,649.46
  4. Step 4: Simplify right side
    9,627.64x = 75,056,239.80
  5. Step 5: Solve for x
    x = 75,056,239.80/9,627.64
  6. Step 6: Final answer
    x = 7,795.91

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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.