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Finding the Fourth Proportional to 6,409,676.54, 8,845,310.97 and 3,509,116.16

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Solution

The fourth proportional to 6,409,676.54, 8,845,310.97 and 3,509,116.16 is: 4,842,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409,676.54 : 8,845,310.97 = 3,509,116.16 : x
  2. Step 2: Convert to fraction form
    6,409,676.54/8,845,310.97 = 3,509,116.16/x
  3. Step 3: Cross multiply
    6,409,676.54x = 8,845,310.97 × 3,509,116.16
  4. Step 4: Simplify right side
    6,409,676.54x = 31,039,223,620,825.72
  5. Step 5: Solve for x
    x = 31,039,223,620,825.72/6,409,676.54
  6. Step 6: Final answer
    x = 4,842,556.94

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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.