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Finding the Fourth Proportional to 6,975.79, 9,628.01 and 4,285.78

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Solution

The fourth proportional to 6,975.79, 9,628.01 and 4,285.78 is: 5,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.79 : 9,628.01 = 4,285.78 : x
  2. Step 2: Convert to fraction form
    6,975.79/9,628.01 = 4,285.78/x
  3. Step 3: Cross multiply
    6,975.79x = 9,628.01 × 4,285.78
  4. Step 4: Simplify right side
    6,975.79x = 41,263,532.70
  5. Step 5: Solve for x
    x = 41,263,532.70/6,975.79
  6. Step 6: Final answer
    x = 5,915.25

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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.