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Finding the Fourth Proportional to 6,730.04, 9,287.52 and 3,935

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Solution

The fourth proportional to 6,730.04, 9,287.52 and 3,935 is: 5,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.04 : 9,287.52 = 3,935 : x
  2. Step 2: Convert to fraction form
    6,730.04/9,287.52 = 3,935/x
  3. Step 3: Cross multiply
    6,730.04x = 9,287.52 × 3,935
  4. Step 4: Simplify right side
    6,730.04x = 36,546,391.20
  5. Step 5: Solve for x
    x = 36,546,391.20/6,730.04
  6. Step 6: Final answer
    x = 5,430.34

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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.