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Finding the Fourth Proportional to 6,309,648.40, 9,464,472.60 and 3,784,003.60

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Solution

The fourth proportional to 6,309,648.40, 9,464,472.60 and 3,784,003.60 is: 5,676,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309,648.40 : 9,464,472.60 = 3,784,003.60 : x
  2. Step 2: Convert to fraction form
    6,309,648.40/9,464,472.60 = 3,784,003.60/x
  3. Step 3: Cross multiply
    6,309,648.40x = 9,464,472.60 × 3,784,003.60
  4. Step 4: Simplify right side
    6,309,648.40x = 35,813,598,390,501.36
  5. Step 5: Solve for x
    x = 35,813,598,390,501.36/6,309,648.40
  6. Step 6: Final answer
    x = 5,676,005.40

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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.