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Finding the Fourth Proportional to 9,094.69, 13,648.91 and 4,167.80

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Solution

The fourth proportional to 9,094.69, 13,648.91 and 4,167.80 is: 6,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.69 : 13,648.91 = 4,167.80 : x
  2. Step 2: Convert to fraction form
    9,094.69/13,648.91 = 4,167.80/x
  3. Step 3: Cross multiply
    9,094.69x = 13,648.91 × 4,167.80
  4. Step 4: Simplify right side
    9,094.69x = 56,885,889.20
  5. Step 5: Solve for x
    x = 56,885,889.20/9,094.69
  6. Step 6: Final answer
    x = 6,254.85

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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.