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Finding the Fourth Proportional to 6,890.66, 9,509.18 and 3,746.91

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Solution

The fourth proportional to 6,890.66, 9,509.18 and 3,746.91 is: 5,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.66 : 9,509.18 = 3,746.91 : x
  2. Step 2: Convert to fraction form
    6,890.66/9,509.18 = 3,746.91/x
  3. Step 3: Cross multiply
    6,890.66x = 9,509.18 × 3,746.91
  4. Step 4: Simplify right side
    6,890.66x = 35,630,022.90
  5. Step 5: Solve for x
    x = 35,630,022.90/6,890.66
  6. Step 6: Final answer
    x = 5,170.77

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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.