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Finding the Fourth Proportional to 7,010.25, 9,674.02 and 3,823.57

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Solution

The fourth proportional to 7,010.25, 9,674.02 and 3,823.57 is: 5,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.25 : 9,674.02 = 3,823.57 : x
  2. Step 2: Convert to fraction form
    7,010.25/9,674.02 = 3,823.57/x
  3. Step 3: Cross multiply
    7,010.25x = 9,674.02 × 3,823.57
  4. Step 4: Simplify right side
    7,010.25x = 36,989,292.65
  5. Step 5: Solve for x
    x = 36,989,292.65/7,010.25
  6. Step 6: Final answer
    x = 5,276.46

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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.