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Finding the Fourth Proportional to 9,477.11, 14,204.14 and 6,704.58

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Solution

The fourth proportional to 9,477.11, 14,204.14 and 6,704.58 is: 10,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.11 : 14,204.14 = 6,704.58 : x
  2. Step 2: Convert to fraction form
    9,477.11/14,204.14 = 6,704.58/x
  3. Step 3: Cross multiply
    9,477.11x = 14,204.14 × 6,704.58
  4. Step 4: Simplify right side
    9,477.11x = 95,232,759.44
  5. Step 5: Solve for x
    x = 95,232,759.44/9,477.11
  6. Step 6: Final answer
    x = 10,048.71

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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.