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Finding the Fourth Proportional to 7,123.83, 9,830.84 and 3,937.34

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Solution

The fourth proportional to 7,123.83, 9,830.84 and 3,937.34 is: 5,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.83 : 9,830.84 = 3,937.34 : x
  2. Step 2: Convert to fraction form
    7,123.83/9,830.84 = 3,937.34/x
  3. Step 3: Cross multiply
    7,123.83x = 9,830.84 × 3,937.34
  4. Step 4: Simplify right side
    7,123.83x = 38,707,359.57
  5. Step 5: Solve for x
    x = 38,707,359.57/7,123.83
  6. Step 6: Final answer
    x = 5,433.50

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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.