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Finding the Fourth Proportional to 6,497.20, 9,746.10 and 3,168.51

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Solution

The fourth proportional to 6,497.20, 9,746.10 and 3,168.51 is: 4,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.20 : 9,746.10 = 3,168.51 : x
  2. Step 2: Convert to fraction form
    6,497.20/9,746.10 = 3,168.51/x
  3. Step 3: Cross multiply
    6,497.20x = 9,746.10 × 3,168.51
  4. Step 4: Simplify right side
    6,497.20x = 30,880,615.31
  5. Step 5: Solve for x
    x = 30,880,615.31/6,497.20
  6. Step 6: Final answer
    x = 4,752.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.