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Finding the Fourth Proportional to 9,722.29, 13,418.06 and 5,474.18

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Solution

The fourth proportional to 9,722.29, 13,418.06 and 5,474.18 is: 7,555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.29 : 13,418.06 = 5,474.18 : x
  2. Step 2: Convert to fraction form
    9,722.29/13,418.06 = 5,474.18/x
  3. Step 3: Cross multiply
    9,722.29x = 13,418.06 × 5,474.18
  4. Step 4: Simplify right side
    9,722.29x = 73,452,875.69
  5. Step 5: Solve for x
    x = 73,452,875.69/9,722.29
  6. Step 6: Final answer
    x = 7,555.10

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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.