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Finding the Fourth Proportional to 6,707,978.67, 9,257,238.36 and 3,768,314.93

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Solution

The fourth proportional to 6,707,978.67, 9,257,238.36 and 3,768,314.93 is: 5,200,402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707,978.67 : 9,257,238.36 = 3,768,314.93 : x
  2. Step 2: Convert to fraction form
    6,707,978.67/9,257,238.36 = 3,768,314.93/x
  3. Step 3: Cross multiply
    6,707,978.67x = 9,257,238.36 × 3,768,314.93
  4. Step 4: Simplify right side
    6,707,978.67x = 34,884,189,476,270.52
  5. Step 5: Solve for x
    x = 34,884,189,476,270.52/6,707,978.67
  6. Step 6: Final answer
    x = 5,200,402.56

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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.