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Finding the Fourth Proportional to 7,057.18, 9,738.96 and 4,819.00

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Solution

The fourth proportional to 7,057.18, 9,738.96 and 4,819.00 is: 6,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.18 : 9,738.96 = 4,819.00 : x
  2. Step 2: Convert to fraction form
    7,057.18/9,738.96 = 4,819.00/x
  3. Step 3: Cross multiply
    7,057.18x = 9,738.96 × 4,819.00
  4. Step 4: Simplify right side
    7,057.18x = 46,932,011.85
  5. Step 5: Solve for x
    x = 46,932,011.85/7,057.18
  6. Step 6: Final answer
    x = 6,650.25

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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.