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Finding the Fourth Proportional to 9,804,803.40, 14,702,481.12 and 3,414,914.28

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Solution

The fourth proportional to 9,804,803.40, 14,702,481.12 and 3,414,914.28 is: 5,120,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804,803.40 : 14,702,481.12 = 3,414,914.28 : x
  2. Step 2: Convert to fraction form
    9,804,803.40/14,702,481.12 = 3,414,914.28/x
  3. Step 3: Cross multiply
    9,804,803.40x = 14,702,481.12 × 3,414,914.28
  4. Step 4: Simplify right side
    9,804,803.40x = 50,207,712,728,118.39
  5. Step 5: Solve for x
    x = 50,207,712,728,118.39/9,804,803.40
  6. Step 6: Final answer
    x = 5,120,726.11

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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.