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Finding the Fourth Proportional to 6,376.05, 9,547.91 and 5,333.48

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Solution

The fourth proportional to 6,376.05, 9,547.91 and 5,333.48 is: 7,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.05 : 9,547.91 = 5,333.48 : x
  2. Step 2: Convert to fraction form
    6,376.05/9,547.91 = 5,333.48/x
  3. Step 3: Cross multiply
    6,376.05x = 9,547.91 × 5,333.48
  4. Step 4: Simplify right side
    6,376.05x = 50,923,568.43
  5. Step 5: Solve for x
    x = 50,923,568.43/6,376.05
  6. Step 6: Final answer
    x = 7,986.70

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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.