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Finding the Fourth Proportional to 6,497,466.81, 8,966,609.94 and 3,557,234.28

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Solution

The fourth proportional to 6,497,466.81, 8,966,609.94 and 3,557,234.28 is: 4,909,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,466.81 : 8,966,609.94 = 3,557,234.28 : x
  2. Step 2: Convert to fraction form
    6,497,466.81/8,966,609.94 = 3,557,234.28/x
  3. Step 3: Cross multiply
    6,497,466.81x = 8,966,609.94 × 3,557,234.28
  4. Step 4: Simplify right side
    6,497,466.81x = 31,896,332,230,474.54
  5. Step 5: Solve for x
    x = 31,896,332,230,474.54/6,497,466.81
  6. Step 6: Final answer
    x = 4,909,041.20

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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.