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Finding the Fourth Proportional to 6,528.06, 9,003.96 and 4,138.76

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Solution

The fourth proportional to 6,528.06, 9,003.96 and 4,138.76 is: 5,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.06 : 9,003.96 = 4,138.76 : x
  2. Step 2: Convert to fraction form
    6,528.06/9,003.96 = 4,138.76/x
  3. Step 3: Cross multiply
    6,528.06x = 9,003.96 × 4,138.76
  4. Step 4: Simplify right side
    6,528.06x = 37,265,252.00
  5. Step 5: Solve for x
    x = 37,265,252.00/6,528.06
  6. Step 6: Final answer
    x = 5,708.47

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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.