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Finding the Fourth Proportional to 6,528.83, 9,009.75 and 3,544.64

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Solution

The fourth proportional to 6,528.83, 9,009.75 and 3,544.64 is: 4,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.83 : 9,009.75 = 3,544.64 : x
  2. Step 2: Convert to fraction form
    6,528.83/9,009.75 = 3,544.64/x
  3. Step 3: Cross multiply
    6,528.83x = 9,009.75 × 3,544.64
  4. Step 4: Simplify right side
    6,528.83x = 31,936,275.19
  5. Step 5: Solve for x
    x = 31,936,275.19/6,528.83
  6. Step 6: Final answer
    x = 4,891.58

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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.