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Finding the Fourth Proportional to 9,701.08, 14,555.94 and 5,083

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Solution

The fourth proportional to 9,701.08, 14,555.94 and 5,083 is: 7,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.08 : 14,555.94 = 5,083 : x
  2. Step 2: Convert to fraction form
    9,701.08/14,555.94 = 5,083/x
  3. Step 3: Cross multiply
    9,701.08x = 14,555.94 × 5,083
  4. Step 4: Simplify right side
    9,701.08x = 73,987,843.02
  5. Step 5: Solve for x
    x = 73,987,843.02/9,701.08
  6. Step 6: Final answer
    x = 7,626.76

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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.