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Finding the Fourth Proportional to 7,166.12, 9,891.31 and 4,333.50

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Solution

The fourth proportional to 7,166.12, 9,891.31 and 4,333.50 is: 5,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.12 : 9,891.31 = 4,333.50 : x
  2. Step 2: Convert to fraction form
    7,166.12/9,891.31 = 4,333.50/x
  3. Step 3: Cross multiply
    7,166.12x = 9,891.31 × 4,333.50
  4. Step 4: Simplify right side
    7,166.12x = 42,863,981.05
  5. Step 5: Solve for x
    x = 42,863,981.05/7,166.12
  6. Step 6: Final answer
    x = 5,981.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.