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Finding the Fourth Proportional to 6,225.14, 9,323.73 and 2,931.27

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Solution

The fourth proportional to 6,225.14, 9,323.73 and 2,931.27 is: 4,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.14 : 9,323.73 = 2,931.27 : x
  2. Step 2: Convert to fraction form
    6,225.14/9,323.73 = 2,931.27/x
  3. Step 3: Cross multiply
    6,225.14x = 9,323.73 × 2,931.27
  4. Step 4: Simplify right side
    6,225.14x = 27,330,370.04
  5. Step 5: Solve for x
    x = 27,330,370.04/6,225.14
  6. Step 6: Final answer
    x = 4,390.33

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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.