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Finding the Fourth Proportional to 9,718.06, 14,568.54 and 6,424.24

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Solution

The fourth proportional to 9,718.06, 14,568.54 and 6,424.24 is: 9,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.06 : 14,568.54 = 6,424.24 : x
  2. Step 2: Convert to fraction form
    9,718.06/14,568.54 = 6,424.24/x
  3. Step 3: Cross multiply
    9,718.06x = 14,568.54 × 6,424.24
  4. Step 4: Simplify right side
    9,718.06x = 93,591,797.41
  5. Step 5: Solve for x
    x = 93,591,797.41/9,718.06
  6. Step 6: Final answer
    x = 9,630.71

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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.