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Finding the Fourth Proportional to 7,145.19, 9,850.86 and 5,864.31

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Solution

The fourth proportional to 7,145.19, 9,850.86 and 5,864.31 is: 8,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.19 : 9,850.86 = 5,864.31 : x
  2. Step 2: Convert to fraction form
    7,145.19/9,850.86 = 5,864.31/x
  3. Step 3: Cross multiply
    7,145.19x = 9,850.86 × 5,864.31
  4. Step 4: Simplify right side
    7,145.19x = 57,768,496.81
  5. Step 5: Solve for x
    x = 57,768,496.81/7,145.19
  6. Step 6: Final answer
    x = 8,084.95

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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.