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Finding the Fourth Proportional to 9,057.44, 12,493.51 and 6,543.24

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Solution

The fourth proportional to 9,057.44, 12,493.51 and 6,543.24 is: 9,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.44 : 12,493.51 = 6,543.24 : x
  2. Step 2: Convert to fraction form
    9,057.44/12,493.51 = 6,543.24/x
  3. Step 3: Cross multiply
    9,057.44x = 12,493.51 × 6,543.24
  4. Step 4: Simplify right side
    9,057.44x = 81,748,018.01
  5. Step 5: Solve for x
    x = 81,748,018.01/9,057.44
  6. Step 6: Final answer
    x = 9,025.52

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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.