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Finding the Fourth Proportional to 7,195.84, 9,865.49 and 7,064.64

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Solution

The fourth proportional to 7,195.84, 9,865.49 and 7,064.64 is: 9,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.84 : 9,865.49 = 7,064.64 : x
  2. Step 2: Convert to fraction form
    7,195.84/9,865.49 = 7,064.64/x
  3. Step 3: Cross multiply
    7,195.84x = 9,865.49 × 7,064.64
  4. Step 4: Simplify right side
    7,195.84x = 69,696,135.27
  5. Step 5: Solve for x
    x = 69,696,135.27/7,195.84
  6. Step 6: Final answer
    x = 9,685.61

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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.