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Finding the Fourth Proportional to 7,105.62, 9,801.36 and 4,715.70

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Solution

The fourth proportional to 7,105.62, 9,801.36 and 4,715.70 is: 6,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.62 : 9,801.36 = 4,715.70 : x
  2. Step 2: Convert to fraction form
    7,105.62/9,801.36 = 4,715.70/x
  3. Step 3: Cross multiply
    7,105.62x = 9,801.36 × 4,715.70
  4. Step 4: Simplify right side
    7,105.62x = 46,220,273.35
  5. Step 5: Solve for x
    x = 46,220,273.35/7,105.62
  6. Step 6: Final answer
    x = 6,504.75

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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.