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Finding the Fourth Proportional to 7,125.27, 9,834.02 and 4,473.06

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Solution

The fourth proportional to 7,125.27, 9,834.02 and 4,473.06 is: 6,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.27 : 9,834.02 = 4,473.06 : x
  2. Step 2: Convert to fraction form
    7,125.27/9,834.02 = 4,473.06/x
  3. Step 3: Cross multiply
    7,125.27x = 9,834.02 × 4,473.06
  4. Step 4: Simplify right side
    7,125.27x = 43,988,161.50
  5. Step 5: Solve for x
    x = 43,988,161.50/7,125.27
  6. Step 6: Final answer
    x = 6,173.54

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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.