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Finding the Fourth Proportional to 9,717.94, 13,410.63 and 5,469.76

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Solution

The fourth proportional to 9,717.94, 13,410.63 and 5,469.76 is: 7,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.94 : 13,410.63 = 5,469.76 : x
  2. Step 2: Convert to fraction form
    9,717.94/13,410.63 = 5,469.76/x
  3. Step 3: Cross multiply
    9,717.94x = 13,410.63 × 5,469.76
  4. Step 4: Simplify right side
    9,717.94x = 73,352,927.55
  5. Step 5: Solve for x
    x = 73,352,927.55/9,717.94
  6. Step 6: Final answer
    x = 7,548.20

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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.