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Finding the Fourth Proportional to 9,718.32, 14,572.31 and 3,797.22

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Solution

The fourth proportional to 9,718.32, 14,572.31 and 3,797.22 is: 5,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.32 : 14,572.31 = 3,797.22 : x
  2. Step 2: Convert to fraction form
    9,718.32/14,572.31 = 3,797.22/x
  3. Step 3: Cross multiply
    9,718.32x = 14,572.31 × 3,797.22
  4. Step 4: Simplify right side
    9,718.32x = 55,334,247.99
  5. Step 5: Solve for x
    x = 55,334,247.99/9,718.32
  6. Step 6: Final answer
    x = 5,693.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.