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Finding the Fourth Proportional to 7,107.34, 9,809.88 and 4,842.42

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Solution

The fourth proportional to 7,107.34, 9,809.88 and 4,842.42 is: 6,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.34 : 9,809.88 = 4,842.42 : x
  2. Step 2: Convert to fraction form
    7,107.34/9,809.88 = 4,842.42/x
  3. Step 3: Cross multiply
    7,107.34x = 9,809.88 × 4,842.42
  4. Step 4: Simplify right side
    7,107.34x = 47,503,604.98
  5. Step 5: Solve for x
    x = 47,503,604.98/7,107.34
  6. Step 6: Final answer
    x = 6,683.74

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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.