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Finding the Fourth Proportional to 6,427.79, 9,630.66 and 4,315.46

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Solution

The fourth proportional to 6,427.79, 9,630.66 and 4,315.46 is: 6,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.79 : 9,630.66 = 4,315.46 : x
  2. Step 2: Convert to fraction form
    6,427.79/9,630.66 = 4,315.46/x
  3. Step 3: Cross multiply
    6,427.79x = 9,630.66 × 4,315.46
  4. Step 4: Simplify right side
    6,427.79x = 41,560,679.85
  5. Step 5: Solve for x
    x = 41,560,679.85/6,427.79
  6. Step 6: Final answer
    x = 6,465.79

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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.