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Finding the Fourth Proportional to 9,792,974.20, 14,691,794.10 and 4,740,129.40

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Solution

The fourth proportional to 9,792,974.20, 14,691,794.10 and 4,740,129.40 is: 7,111,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792,974.20 : 14,691,794.10 = 4,740,129.40 : x
  2. Step 2: Convert to fraction form
    9,792,974.20/14,691,794.10 = 4,740,129.40/x
  3. Step 3: Cross multiply
    9,792,974.20x = 14,691,794.10 × 4,740,129.40
  4. Step 4: Simplify right side
    9,792,974.20x = 69,641,005,152,156.55
  5. Step 5: Solve for x
    x = 69,641,005,152,156.55/9,792,974.20
  6. Step 6: Final answer
    x = 7,111,323.25

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Why These Related Problems?

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