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Finding the Fourth Proportional to 6,289.46, 9,425.25 and 4,632.98

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Solution

The fourth proportional to 6,289.46, 9,425.25 and 4,632.98 is: 6,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.46 : 9,425.25 = 4,632.98 : x
  2. Step 2: Convert to fraction form
    6,289.46/9,425.25 = 4,632.98/x
  3. Step 3: Cross multiply
    6,289.46x = 9,425.25 × 4,632.98
  4. Step 4: Simplify right side
    6,289.46x = 43,666,994.75
  5. Step 5: Solve for x
    x = 43,666,994.75/6,289.46
  6. Step 6: Final answer
    x = 6,942.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.