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Finding the Fourth Proportional to 6,477,123.57, 9,715,684.14 and 1,928,238.90

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Solution

The fourth proportional to 6,477,123.57, 9,715,684.14 and 1,928,238.90 is: 2,892,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,123.57 : 9,715,684.14 = 1,928,238.90 : x
  2. Step 2: Convert to fraction form
    6,477,123.57/9,715,684.14 = 1,928,238.90/x
  3. Step 3: Cross multiply
    6,477,123.57x = 9,715,684.14 × 1,928,238.90
  4. Step 4: Simplify right side
    6,477,123.57x = 18,734,160,098,861.05
  5. Step 5: Solve for x
    x = 18,734,160,098,861.05/6,477,123.57
  6. Step 6: Final answer
    x = 2,892,357.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.