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Finding the Fourth Proportional to 7,006.56, 9,665.64 and 4,645.68

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Solution

The fourth proportional to 7,006.56, 9,665.64 and 4,645.68 is: 6,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.56 : 9,665.64 = 4,645.68 : x
  2. Step 2: Convert to fraction form
    7,006.56/9,665.64 = 4,645.68/x
  3. Step 3: Cross multiply
    7,006.56x = 9,665.64 × 4,645.68
  4. Step 4: Simplify right side
    7,006.56x = 44,903,470.44
  5. Step 5: Solve for x
    x = 44,903,470.44/7,006.56
  6. Step 6: Final answer
    x = 6,408.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.