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Finding the Fourth Proportional to 6,700,942.34, 9,223,954.35 and 5,840,022.50

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Solution

The fourth proportional to 6,700,942.34, 9,223,954.35 and 5,840,022.50 is: 8,038,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700,942.34 : 9,223,954.35 = 5,840,022.50 : x
  2. Step 2: Convert to fraction form
    6,700,942.34/9,223,954.35 = 5,840,022.50/x
  3. Step 3: Cross multiply
    6,700,942.34x = 9,223,954.35 × 5,840,022.50
  4. Step 4: Simplify right side
    6,700,942.34x = 53,868,100,942,972.88
  5. Step 5: Solve for x
    x = 53,868,100,942,972.88/6,700,942.34
  6. Step 6: Final answer
    x = 8,038,884.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.