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Finding the Fourth Proportional to 6,441.76, 9,643.19 and 5,825.75

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Solution

The fourth proportional to 6,441.76, 9,643.19 and 5,825.75 is: 8,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.76 : 9,643.19 = 5,825.75 : x
  2. Step 2: Convert to fraction form
    6,441.76/9,643.19 = 5,825.75/x
  3. Step 3: Cross multiply
    6,441.76x = 9,643.19 × 5,825.75
  4. Step 4: Simplify right side
    6,441.76x = 56,178,809.12
  5. Step 5: Solve for x
    x = 56,178,809.12/6,441.76
  6. Step 6: Final answer
    x = 8,721.04

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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.