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Finding the Fourth Proportional to 6,735.79, 9,292.21 and 4,377.07

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Solution

The fourth proportional to 6,735.79, 9,292.21 and 4,377.07 is: 6,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.79 : 9,292.21 = 4,377.07 : x
  2. Step 2: Convert to fraction form
    6,735.79/9,292.21 = 4,377.07/x
  3. Step 3: Cross multiply
    6,735.79x = 9,292.21 × 4,377.07
  4. Step 4: Simplify right side
    6,735.79x = 40,672,653.62
  5. Step 5: Solve for x
    x = 40,672,653.62/6,735.79
  6. Step 6: Final answer
    x = 6,038.29

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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.