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Finding the Fourth Proportional to 37,346.75, 56,020.23 and 9,644.75

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Solution

The fourth proportional to 37,346.75, 56,020.23 and 9,644.75 is: 14,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,346.75 : 56,020.23 = 9,644.75 : x
  2. Step 2: Convert to fraction form
    37,346.75/56,020.23 = 9,644.75/x
  3. Step 3: Cross multiply
    37,346.75x = 56,020.23 × 9,644.75
  4. Step 4: Simplify right side
    37,346.75x = 540,301,113.29
  5. Step 5: Solve for x
    x = 540,301,113.29/37,346.75
  6. Step 6: Final answer
    x = 14,467.15

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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.