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Finding the Fourth Proportional to 6,910.95, 9,537.99 and 5,147.58

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Solution

The fourth proportional to 6,910.95, 9,537.99 and 5,147.58 is: 7,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.95 : 9,537.99 = 5,147.58 : x
  2. Step 2: Convert to fraction form
    6,910.95/9,537.99 = 5,147.58/x
  3. Step 3: Cross multiply
    6,910.95x = 9,537.99 × 5,147.58
  4. Step 4: Simplify right side
    6,910.95x = 49,097,566.56
  5. Step 5: Solve for x
    x = 49,097,566.56/6,910.95
  6. Step 6: Final answer
    x = 7,104.32

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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.