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Finding the Fourth Proportional to 7,020.64, 9,690 and 4,787.85

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Solution

The fourth proportional to 7,020.64, 9,690 and 4,787.85 is: 6,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,020.64 : 9,690 = 4,787.85 : x
  2. Step 2: Convert to fraction form
    7,020.64/9,690 = 4,787.85/x
  3. Step 3: Cross multiply
    7,020.64x = 9,690 × 4,787.85
  4. Step 4: Simplify right side
    7,020.64x = 46,394,266.50
  5. Step 5: Solve for x
    x = 46,394,266.50/7,020.64
  6. Step 6: Final answer
    x = 6,608.27

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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.