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Finding the Fourth Proportional to 9,437.96, 14,147.22 and 5,054.24

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Solution

The fourth proportional to 9,437.96, 14,147.22 and 5,054.24 is: 7,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.96 : 14,147.22 = 5,054.24 : x
  2. Step 2: Convert to fraction form
    9,437.96/14,147.22 = 5,054.24/x
  3. Step 3: Cross multiply
    9,437.96x = 14,147.22 × 5,054.24
  4. Step 4: Simplify right side
    9,437.96x = 71,503,445.21
  5. Step 5: Solve for x
    x = 71,503,445.21/9,437.96
  6. Step 6: Final answer
    x = 7,576.15

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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.