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Finding the Fourth Proportional to 9,717.40, 13,409.40 and 5,467.72

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Solution

The fourth proportional to 9,717.40, 13,409.40 and 5,467.72 is: 7,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.40 : 13,409.40 = 5,467.72 : x
  2. Step 2: Convert to fraction form
    9,717.40/13,409.40 = 5,467.72/x
  3. Step 3: Cross multiply
    9,717.40x = 13,409.40 × 5,467.72
  4. Step 4: Simplify right side
    9,717.40x = 73,318,844.57
  5. Step 5: Solve for x
    x = 73,318,844.57/9,717.40
  6. Step 6: Final answer
    x = 7,545.11

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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.