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Finding the Fourth Proportional to 6,289,743.60, 9,434,615.40 and 6,183,455.40

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Solution

The fourth proportional to 6,289,743.60, 9,434,615.40 and 6,183,455.40 is: 9,275,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289,743.60 : 9,434,615.40 = 6,183,455.40 : x
  2. Step 2: Convert to fraction form
    6,289,743.60/9,434,615.40 = 6,183,455.40/x
  3. Step 3: Cross multiply
    6,289,743.60x = 9,434,615.40 × 6,183,455.40
  4. Step 4: Simplify right side
    6,289,743.60x = 58,338,523,542,053.16
  5. Step 5: Solve for x
    x = 58,338,523,542,053.16/6,289,743.60
  6. Step 6: Final answer
    x = 9,275,183.10

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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.