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Finding the Fourth Proportional to 7,006.44, 9,664.74 and 4,919.88

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Solution

The fourth proportional to 7,006.44, 9,664.74 and 4,919.88 is: 6,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.44 : 9,664.74 = 4,919.88 : x
  2. Step 2: Convert to fraction form
    7,006.44/9,664.74 = 4,919.88/x
  3. Step 3: Cross multiply
    7,006.44x = 9,664.74 × 4,919.88
  4. Step 4: Simplify right side
    7,006.44x = 47,549,361.03
  5. Step 5: Solve for x
    x = 47,549,361.03/7,006.44
  6. Step 6: Final answer
    x = 6,786.52

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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.