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Finding the Fourth Proportional to 9,717.64, 14,576.42 and 2,792.12

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Solution

The fourth proportional to 9,717.64, 14,576.42 and 2,792.12 is: 4,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.64 : 14,576.42 = 2,792.12 : x
  2. Step 2: Convert to fraction form
    9,717.64/14,576.42 = 2,792.12/x
  3. Step 3: Cross multiply
    9,717.64x = 14,576.42 × 2,792.12
  4. Step 4: Simplify right side
    9,717.64x = 40,699,113.81
  5. Step 5: Solve for x
    x = 40,699,113.81/9,717.64
  6. Step 6: Final answer
    x = 4,188.17

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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.