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Finding the Fourth Proportional to 6,890.81, 9,509.27 and 3,746.99

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Solution

The fourth proportional to 6,890.81, 9,509.27 and 3,746.99 is: 5,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.81 : 9,509.27 = 3,746.99 : x
  2. Step 2: Convert to fraction form
    6,890.81/9,509.27 = 3,746.99/x
  3. Step 3: Cross multiply
    6,890.81x = 9,509.27 × 3,746.99
  4. Step 4: Simplify right side
    6,890.81x = 35,631,073.32
  5. Step 5: Solve for x
    x = 35,631,073.32/6,890.81
  6. Step 6: Final answer
    x = 5,170.81

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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.