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Finding the Fourth Proportional to 9,851.28, 13,594.64 and 5,659.60

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Solution

The fourth proportional to 9,851.28, 13,594.64 and 5,659.60 is: 7,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.28 : 13,594.64 = 5,659.60 : x
  2. Step 2: Convert to fraction form
    9,851.28/13,594.64 = 5,659.60/x
  3. Step 3: Cross multiply
    9,851.28x = 13,594.64 × 5,659.60
  4. Step 4: Simplify right side
    9,851.28x = 76,940,224.54
  5. Step 5: Solve for x
    x = 76,940,224.54/9,851.28
  6. Step 6: Final answer
    x = 7,810.18

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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.