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Finding the Fourth Proportional to 6,471,830.40, 9,707,745.60 and 6,072,921.60

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Solution

The fourth proportional to 6,471,830.40, 9,707,745.60 and 6,072,921.60 is: 9,109,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,830.40 : 9,707,745.60 = 6,072,921.60 : x
  2. Step 2: Convert to fraction form
    6,471,830.40/9,707,745.60 = 6,072,921.60/x
  3. Step 3: Cross multiply
    6,471,830.40x = 9,707,745.60 × 6,072,921.60
  4. Step 4: Simplify right side
    6,471,830.40x = 58,954,377,941,544.95
  5. Step 5: Solve for x
    x = 58,954,377,941,544.95/6,471,830.40
  6. Step 6: Final answer
    x = 9,109,382.40

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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.