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Finding the Fourth Proportional to 7,057.19, 9,745.37 and 4,543.57

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Solution

The fourth proportional to 7,057.19, 9,745.37 and 4,543.57 is: 6,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.19 : 9,745.37 = 4,543.57 : x
  2. Step 2: Convert to fraction form
    7,057.19/9,745.37 = 4,543.57/x
  3. Step 3: Cross multiply
    7,057.19x = 9,745.37 × 4,543.57
  4. Step 4: Simplify right side
    7,057.19x = 44,278,723.69
  5. Step 5: Solve for x
    x = 44,278,723.69/7,057.19
  6. Step 6: Final answer
    x = 6,274.28

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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.