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Finding the Fourth Proportional to 9,792.99, 13,462.36 and 8,425.27

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Solution

The fourth proportional to 9,792.99, 13,462.36 and 8,425.27 is: 11,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.99 : 13,462.36 = 8,425.27 : x
  2. Step 2: Convert to fraction form
    9,792.99/13,462.36 = 8,425.27/x
  3. Step 3: Cross multiply
    9,792.99x = 13,462.36 × 8,425.27
  4. Step 4: Simplify right side
    9,792.99x = 113,423,984.18
  5. Step 5: Solve for x
    x = 113,423,984.18/9,792.99
  6. Step 6: Final answer
    x = 11,582.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.