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Finding the Fourth Proportional to 9,148.26, 13,714.22 and 3,303.56

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Solution

The fourth proportional to 9,148.26, 13,714.22 and 3,303.56 is: 4,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.26 : 13,714.22 = 3,303.56 : x
  2. Step 2: Convert to fraction form
    9,148.26/13,714.22 = 3,303.56/x
  3. Step 3: Cross multiply
    9,148.26x = 13,714.22 × 3,303.56
  4. Step 4: Simplify right side
    9,148.26x = 45,305,748.62
  5. Step 5: Solve for x
    x = 45,305,748.62/9,148.26
  6. Step 6: Final answer
    x = 4,952.39

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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.