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Finding the Fourth Proportional to 37,638.68, 56,458.06 and 9,560.84

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Solution

The fourth proportional to 37,638.68, 56,458.06 and 9,560.84 is: 14,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638.68 : 56,458.06 = 9,560.84 : x
  2. Step 2: Convert to fraction form
    37,638.68/56,458.06 = 9,560.84/x
  3. Step 3: Cross multiply
    37,638.68x = 56,458.06 × 9,560.84
  4. Step 4: Simplify right side
    37,638.68x = 539,786,478.37
  5. Step 5: Solve for x
    x = 539,786,478.37/37,638.68
  6. Step 6: Final answer
    x = 14,341.27

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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.