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Finding the Fourth Proportional to 6,890.95, 9,509.54 and 3,747.13

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Solution

The fourth proportional to 6,890.95, 9,509.54 and 3,747.13 is: 5,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.95 : 9,509.54 = 3,747.13 : x
  2. Step 2: Convert to fraction form
    6,890.95/9,509.54 = 3,747.13/x
  3. Step 3: Cross multiply
    6,890.95x = 9,509.54 × 3,747.13
  4. Step 4: Simplify right side
    6,890.95x = 35,633,482.62
  5. Step 5: Solve for x
    x = 35,633,482.62/6,890.95
  6. Step 6: Final answer
    x = 5,171.06

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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.