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Finding the Fourth Proportional to 9,792.36, 14,697.14 and 6,716.52

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Solution

The fourth proportional to 9,792.36, 14,697.14 and 6,716.52 is: 10,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.36 : 14,697.14 = 6,716.52 : x
  2. Step 2: Convert to fraction form
    9,792.36/14,697.14 = 6,716.52/x
  3. Step 3: Cross multiply
    9,792.36x = 14,697.14 × 6,716.52
  4. Step 4: Simplify right side
    9,792.36x = 98,713,634.75
  5. Step 5: Solve for x
    x = 98,713,634.75/9,792.36
  6. Step 6: Final answer
    x = 10,080.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.