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Finding the Fourth Proportional to 7,975.84, 11,941 and 6,334.72

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Solution

The fourth proportional to 7,975.84, 11,941 and 6,334.72 is: 9,484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.84 : 11,941 = 6,334.72 : x
  2. Step 2: Convert to fraction form
    7,975.84/11,941 = 6,334.72/x
  3. Step 3: Cross multiply
    7,975.84x = 11,941 × 6,334.72
  4. Step 4: Simplify right side
    7,975.84x = 75,642,891.52
  5. Step 5: Solve for x
    x = 75,642,891.52/7,975.84
  6. Step 6: Final answer
    x = 9,484.00

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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.