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Finding the Fourth Proportional to 9,482.83, 13,086.24 and 5,234.17

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Solution

The fourth proportional to 9,482.83, 13,086.24 and 5,234.17 is: 7,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.83 : 13,086.24 = 5,234.17 : x
  2. Step 2: Convert to fraction form
    9,482.83/13,086.24 = 5,234.17/x
  3. Step 3: Cross multiply
    9,482.83x = 13,086.24 × 5,234.17
  4. Step 4: Simplify right side
    9,482.83x = 68,495,604.82
  5. Step 5: Solve for x
    x = 68,495,604.82/9,482.83
  6. Step 6: Final answer
    x = 7,223.12

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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.