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Finding the Fourth Proportional to 9,704.48, 13,387.88 and 5,723.87

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Solution

The fourth proportional to 9,704.48, 13,387.88 and 5,723.87 is: 7,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.48 : 13,387.88 = 5,723.87 : x
  2. Step 2: Convert to fraction form
    9,704.48/13,387.88 = 5,723.87/x
  3. Step 3: Cross multiply
    9,704.48x = 13,387.88 × 5,723.87
  4. Step 4: Simplify right side
    9,704.48x = 76,630,432.07
  5. Step 5: Solve for x
    x = 76,630,432.07/9,704.48
  6. Step 6: Final answer
    x = 7,896.40

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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.