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Finding the Fourth Proportional to 9,627.84, 13,285.92 and 5,649.60

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Solution

The fourth proportional to 9,627.84, 13,285.92 and 5,649.60 is: 7,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.84 : 13,285.92 = 5,649.60 : x
  2. Step 2: Convert to fraction form
    9,627.84/13,285.92 = 5,649.60/x
  3. Step 3: Cross multiply
    9,627.84x = 13,285.92 × 5,649.60
  4. Step 4: Simplify right side
    9,627.84x = 75,060,133.63
  5. Step 5: Solve for x
    x = 75,060,133.63/9,627.84
  6. Step 6: Final answer
    x = 7,796.16

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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.