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Finding the Fourth Proportional to 9,723.46, 14,599.77 and 5,568.16

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Solution

The fourth proportional to 9,723.46, 14,599.77 and 5,568.16 is: 8,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.46 : 14,599.77 = 5,568.16 : x
  2. Step 2: Convert to fraction form
    9,723.46/14,599.77 = 5,568.16/x
  3. Step 3: Cross multiply
    9,723.46x = 14,599.77 × 5,568.16
  4. Step 4: Simplify right side
    9,723.46x = 81,293,754.48
  5. Step 5: Solve for x
    x = 81,293,754.48/9,723.46
  6. Step 6: Final answer
    x = 8,360.58

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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.