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Finding the Fourth Proportional to 9,894.83, 14,839.07 and 5,212.22

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Solution

The fourth proportional to 9,894.83, 14,839.07 and 5,212.22 is: 7,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.83 : 14,839.07 = 5,212.22 : x
  2. Step 2: Convert to fraction form
    9,894.83/14,839.07 = 5,212.22/x
  3. Step 3: Cross multiply
    9,894.83x = 14,839.07 × 5,212.22
  4. Step 4: Simplify right side
    9,894.83x = 77,344,397.18
  5. Step 5: Solve for x
    x = 77,344,397.18/9,894.83
  6. Step 6: Final answer
    x = 7,816.65

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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.