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Finding the Fourth Proportional to 6,746.45, 9,310.12 and 3,762.90

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Solution

The fourth proportional to 6,746.45, 9,310.12 and 3,762.90 is: 5,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.45 : 9,310.12 = 3,762.90 : x
  2. Step 2: Convert to fraction form
    6,746.45/9,310.12 = 3,762.90/x
  3. Step 3: Cross multiply
    6,746.45x = 9,310.12 × 3,762.90
  4. Step 4: Simplify right side
    6,746.45x = 35,033,041.14
  5. Step 5: Solve for x
    x = 35,033,041.14/6,746.45
  6. Step 6: Final answer
    x = 5,192.82

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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.