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Finding the Fourth Proportional to 9,046.69, 13,573.91 and 3,782.93

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Solution

The fourth proportional to 9,046.69, 13,573.91 and 3,782.93 is: 5,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.69 : 13,573.91 = 3,782.93 : x
  2. Step 2: Convert to fraction form
    9,046.69/13,573.91 = 3,782.93/x
  3. Step 3: Cross multiply
    9,046.69x = 13,573.91 × 3,782.93
  4. Step 4: Simplify right side
    9,046.69x = 51,349,207.47
  5. Step 5: Solve for x
    x = 51,349,207.47/9,046.69
  6. Step 6: Final answer
    x = 5,676.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.