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Finding the Fourth Proportional to 9,766,883.54, 14,641,656.12 and 3,697,384.28

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Solution

The fourth proportional to 9,766,883.54, 14,641,656.12 and 3,697,384.28 is: 5,542,794.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766,883.54 : 14,641,656.12 = 3,697,384.28 : x
  2. Step 2: Convert to fraction form
    9,766,883.54/14,641,656.12 = 3,697,384.28/x
  3. Step 3: Cross multiply
    9,766,883.54x = 14,641,656.12 × 3,697,384.28
  4. Step 4: Simplify right side
    9,766,883.54x = 54,135,829,171,253.79
  5. Step 5: Solve for x
    x = 54,135,829,171,253.79/9,766,883.54
  6. Step 6: Final answer
    x = 5,542,794.58

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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.