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Finding the Fourth Proportional to 6,543.22, 9,029.73 and 3,710.53

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Solution

The fourth proportional to 6,543.22, 9,029.73 and 3,710.53 is: 5,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.22 : 9,029.73 = 3,710.53 : x
  2. Step 2: Convert to fraction form
    6,543.22/9,029.73 = 3,710.53/x
  3. Step 3: Cross multiply
    6,543.22x = 9,029.73 × 3,710.53
  4. Step 4: Simplify right side
    6,543.22x = 33,505,084.06
  5. Step 5: Solve for x
    x = 33,505,084.06/6,543.22
  6. Step 6: Final answer
    x = 5,120.58

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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.