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Finding the Fourth Proportional to 9,057.53, 12,493.64 and 6,543.33

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Solution

The fourth proportional to 9,057.53, 12,493.64 and 6,543.33 is: 9,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.53 : 12,493.64 = 6,543.33 : x
  2. Step 2: Convert to fraction form
    9,057.53/12,493.64 = 6,543.33/x
  3. Step 3: Cross multiply
    9,057.53x = 12,493.64 × 6,543.33
  4. Step 4: Simplify right side
    9,057.53x = 81,750,035.82
  5. Step 5: Solve for x
    x = 81,750,035.82/9,057.53
  6. Step 6: Final answer
    x = 9,025.64

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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.