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Finding the Fourth Proportional to 7,115.37, 9,817.36 and 4,877.94

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Solution

The fourth proportional to 7,115.37, 9,817.36 and 4,877.94 is: 6,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.37 : 9,817.36 = 4,877.94 : x
  2. Step 2: Convert to fraction form
    7,115.37/9,817.36 = 4,877.94/x
  3. Step 3: Cross multiply
    7,115.37x = 9,817.36 × 4,877.94
  4. Step 4: Simplify right side
    7,115.37x = 47,888,493.04
  5. Step 5: Solve for x
    x = 47,888,493.04/7,115.37
  6. Step 6: Final answer
    x = 6,730.29

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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.