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Finding the Fourth Proportional to 6,730.40, 9,287.76 and 3,746.06

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Solution

The fourth proportional to 6,730.40, 9,287.76 and 3,746.06 is: 5,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.40 : 9,287.76 = 3,746.06 : x
  2. Step 2: Convert to fraction form
    6,730.40/9,287.76 = 3,746.06/x
  3. Step 3: Cross multiply
    6,730.40x = 9,287.76 × 3,746.06
  4. Step 4: Simplify right side
    6,730.40x = 34,792,506.23
  5. Step 5: Solve for x
    x = 34,792,506.23/6,730.40
  6. Step 6: Final answer
    x = 5,169.46

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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.