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Finding the Fourth Proportional to 6,312.60, 9,450.20 and 4,676.47

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Solution

The fourth proportional to 6,312.60, 9,450.20 and 4,676.47 is: 7,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.60 : 9,450.20 = 4,676.47 : x
  2. Step 2: Convert to fraction form
    6,312.60/9,450.20 = 4,676.47/x
  3. Step 3: Cross multiply
    6,312.60x = 9,450.20 × 4,676.47
  4. Step 4: Simplify right side
    6,312.60x = 44,193,564.86
  5. Step 5: Solve for x
    x = 44,193,564.86/6,312.60
  6. Step 6: Final answer
    x = 7,000.85

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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.