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Finding the Fourth Proportional to 6,242.19, 9,364.91 and 3,122.07

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Solution

The fourth proportional to 6,242.19, 9,364.91 and 3,122.07 is: 4,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.19 : 9,364.91 = 3,122.07 : x
  2. Step 2: Convert to fraction form
    6,242.19/9,364.91 = 3,122.07/x
  3. Step 3: Cross multiply
    6,242.19x = 9,364.91 × 3,122.07
  4. Step 4: Simplify right side
    6,242.19x = 29,237,904.56
  5. Step 5: Solve for x
    x = 29,237,904.56/6,242.19
  6. Step 6: Final answer
    x = 4,683.92

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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.