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Finding the Fourth Proportional to 6,975.84, 9,568.23 and 6,600

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Solution

The fourth proportional to 6,975.84, 9,568.23 and 6,600 is: 9,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.84 : 9,568.23 = 6,600 : x
  2. Step 2: Convert to fraction form
    6,975.84/9,568.23 = 6,600/x
  3. Step 3: Cross multiply
    6,975.84x = 9,568.23 × 6,600
  4. Step 4: Simplify right side
    6,975.84x = 63,150,318
  5. Step 5: Solve for x
    x = 63,150,318/6,975.84
  6. Step 6: Final answer
    x = 9,052.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.