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Finding the Fourth Proportional to 9,723.16, 14,578.26 and 4,724.20

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Solution

The fourth proportional to 9,723.16, 14,578.26 and 4,724.20 is: 7,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.16 : 14,578.26 = 4,724.20 : x
  2. Step 2: Convert to fraction form
    9,723.16/14,578.26 = 4,724.20/x
  3. Step 3: Cross multiply
    9,723.16x = 14,578.26 × 4,724.20
  4. Step 4: Simplify right side
    9,723.16x = 68,870,615.89
  5. Step 5: Solve for x
    x = 68,870,615.89/9,723.16
  6. Step 6: Final answer
    x = 7,083.15

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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.