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Finding the Fourth Proportional to 6,307.74, 9,457.92 and 2,606.85

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Solution

The fourth proportional to 6,307.74, 9,457.92 and 2,606.85 is: 3,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.74 : 9,457.92 = 2,606.85 : x
  2. Step 2: Convert to fraction form
    6,307.74/9,457.92 = 2,606.85/x
  3. Step 3: Cross multiply
    6,307.74x = 9,457.92 × 2,606.85
  4. Step 4: Simplify right side
    6,307.74x = 24,655,378.75
  5. Step 5: Solve for x
    x = 24,655,378.75/6,307.74
  6. Step 6: Final answer
    x = 3,908.75

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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.