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Finding the Fourth Proportional to 9,560.64, 13,194.57 and 5,784.74

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Solution

The fourth proportional to 9,560.64, 13,194.57 and 5,784.74 is: 7,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.64 : 13,194.57 = 5,784.74 : x
  2. Step 2: Convert to fraction form
    9,560.64/13,194.57 = 5,784.74/x
  3. Step 3: Cross multiply
    9,560.64x = 13,194.57 × 5,784.74
  4. Step 4: Simplify right side
    9,560.64x = 76,327,162.06
  5. Step 5: Solve for x
    x = 76,327,162.06/9,560.64
  6. Step 6: Final answer
    x = 7,983.48

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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.