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Finding the Fourth Proportional to 6,544.64, 9,031.52 and 3,750.16

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Solution

The fourth proportional to 6,544.64, 9,031.52 and 3,750.16 is: 5,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.64 : 9,031.52 = 3,750.16 : x
  2. Step 2: Convert to fraction form
    6,544.64/9,031.52 = 3,750.16/x
  3. Step 3: Cross multiply
    6,544.64x = 9,031.52 × 3,750.16
  4. Step 4: Simplify right side
    6,544.64x = 33,869,645.04
  5. Step 5: Solve for x
    x = 33,869,645.04/6,544.64
  6. Step 6: Final answer
    x = 5,175.17

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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.