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Finding the Fourth Proportional to 7,107.45, 9,808.34 and 4,123.34

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Solution

The fourth proportional to 7,107.45, 9,808.34 and 4,123.34 is: 5,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.45 : 9,808.34 = 4,123.34 : x
  2. Step 2: Convert to fraction form
    7,107.45/9,808.34 = 4,123.34/x
  3. Step 3: Cross multiply
    7,107.45x = 9,808.34 × 4,123.34
  4. Step 4: Simplify right side
    7,107.45x = 40,443,071.61
  5. Step 5: Solve for x
    x = 40,443,071.61/7,107.45
  6. Step 6: Final answer
    x = 5,690.24

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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.