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Finding the Fourth Proportional to 9,793,506.65, 14,692,749.50 and 5,753,410.52

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Solution

The fourth proportional to 9,793,506.65, 14,692,749.50 and 5,753,410.52 is: 8,631,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793,506.65 : 14,692,749.50 = 5,753,410.52 : x
  2. Step 2: Convert to fraction form
    9,793,506.65/14,692,749.50 = 5,753,410.52/x
  3. Step 3: Cross multiply
    9,793,506.65x = 14,692,749.50 × 5,753,410.52
  4. Step 4: Simplify right side
    9,793,506.65x = 84,533,419,481,944.52
  5. Step 5: Solve for x
    x = 84,533,419,481,944.52/9,793,506.65
  6. Step 6: Final answer
    x = 8,631,578.30

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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.