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Finding the Fourth Proportional to 7,123.40, 9,830.23 and 3,936.91

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Solution

The fourth proportional to 7,123.40, 9,830.23 and 3,936.91 is: 5,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.40 : 9,830.23 = 3,936.91 : x
  2. Step 2: Convert to fraction form
    7,123.40/9,830.23 = 3,936.91/x
  3. Step 3: Cross multiply
    7,123.40x = 9,830.23 × 3,936.91
  4. Step 4: Simplify right side
    7,123.40x = 38,700,730.79
  5. Step 5: Solve for x
    x = 38,700,730.79/7,123.40
  6. Step 6: Final answer
    x = 5,432.90

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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.