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Finding the Fourth Proportional to 6,544.36, 9,031.62 and 3,750.76

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Solution

The fourth proportional to 6,544.36, 9,031.62 and 3,750.76 is: 5,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.36 : 9,031.62 = 3,750.76 : x
  2. Step 2: Convert to fraction form
    6,544.36/9,031.62 = 3,750.76/x
  3. Step 3: Cross multiply
    6,544.36x = 9,031.62 × 3,750.76
  4. Step 4: Simplify right side
    6,544.36x = 33,875,439.03
  5. Step 5: Solve for x
    x = 33,875,439.03/6,544.36
  6. Step 6: Final answer
    x = 5,176.28

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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.