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Finding the Fourth Proportional to 9,704.41, 14,557.52 and 3,465.08

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Solution

The fourth proportional to 9,704.41, 14,557.52 and 3,465.08 is: 5,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.41 : 14,557.52 = 3,465.08 : x
  2. Step 2: Convert to fraction form
    9,704.41/14,557.52 = 3,465.08/x
  3. Step 3: Cross multiply
    9,704.41x = 14,557.52 × 3,465.08
  4. Step 4: Simplify right side
    9,704.41x = 50,442,961.87
  5. Step 5: Solve for x
    x = 50,442,961.87/9,704.41
  6. Step 6: Final answer
    x = 5,197.94

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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.