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Finding the Fourth Proportional to 9,259.42, 13,889.76 and 3,416.44

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Solution

The fourth proportional to 9,259.42, 13,889.76 and 3,416.44 is: 5,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.42 : 13,889.76 = 3,416.44 : x
  2. Step 2: Convert to fraction form
    9,259.42/13,889.76 = 3,416.44/x
  3. Step 3: Cross multiply
    9,259.42x = 13,889.76 × 3,416.44
  4. Step 4: Simplify right side
    9,259.42x = 47,453,531.65
  5. Step 5: Solve for x
    x = 47,453,531.65/9,259.42
  6. Step 6: Final answer
    x = 5,124.89

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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.