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Finding the Fourth Proportional to 9,857.67, 13,594.70 and 6,320.19

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Solution

The fourth proportional to 9,857.67, 13,594.70 and 6,320.19 is: 8,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.67 : 13,594.70 = 6,320.19 : x
  2. Step 2: Convert to fraction form
    9,857.67/13,594.70 = 6,320.19/x
  3. Step 3: Cross multiply
    9,857.67x = 13,594.70 × 6,320.19
  4. Step 4: Simplify right side
    9,857.67x = 85,921,086.99
  5. Step 5: Solve for x
    x = 85,921,086.99/9,857.67
  6. Step 6: Final answer
    x = 8,716.17

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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.