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Finding the Fourth Proportional to 6,456.10, 9,676.05 and 4,722.70

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Solution

The fourth proportional to 6,456.10, 9,676.05 and 4,722.70 is: 7,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.10 : 9,676.05 = 4,722.70 : x
  2. Step 2: Convert to fraction form
    6,456.10/9,676.05 = 4,722.70/x
  3. Step 3: Cross multiply
    6,456.10x = 9,676.05 × 4,722.70
  4. Step 4: Simplify right side
    6,456.10x = 45,697,081.34
  5. Step 5: Solve for x
    x = 45,697,081.34/6,456.10
  6. Step 6: Final answer
    x = 7,078.12

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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.