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Finding the Fourth Proportional to 7,123.96, 9,828.91 and 4,139.21

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Solution

The fourth proportional to 7,123.96, 9,828.91 and 4,139.21 is: 5,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.96 : 9,828.91 = 4,139.21 : x
  2. Step 2: Convert to fraction form
    7,123.96/9,828.91 = 4,139.21/x
  3. Step 3: Cross multiply
    7,123.96x = 9,828.91 × 4,139.21
  4. Step 4: Simplify right side
    7,123.96x = 40,683,901.87
  5. Step 5: Solve for x
    x = 40,683,901.87/7,123.96
  6. Step 6: Final answer
    x = 5,710.85

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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.