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Finding the Fourth Proportional to 6,730.76, 9,288.52 and 4,077.52

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Solution

The fourth proportional to 6,730.76, 9,288.52 and 4,077.52 is: 5,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.76 : 9,288.52 = 4,077.52 : x
  2. Step 2: Convert to fraction form
    6,730.76/9,288.52 = 4,077.52/x
  3. Step 3: Cross multiply
    6,730.76x = 9,288.52 × 4,077.52
  4. Step 4: Simplify right side
    6,730.76x = 37,874,126.07
  5. Step 5: Solve for x
    x = 37,874,126.07/6,730.76
  6. Step 6: Final answer
    x = 5,627.02

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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.