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Finding the Fourth Proportional to 37,604.64, 56,407.10 and 9,524.70

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Solution

The fourth proportional to 37,604.64, 56,407.10 and 9,524.70 is: 14,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,604.64 : 56,407.10 = 9,524.70 : x
  2. Step 2: Convert to fraction form
    37,604.64/56,407.10 = 9,524.70/x
  3. Step 3: Cross multiply
    37,604.64x = 56,407.10 × 9,524.70
  4. Step 4: Simplify right side
    37,604.64x = 537,260,705.37
  5. Step 5: Solve for x
    x = 537,260,705.37/37,604.64
  6. Step 6: Final answer
    x = 14,287.09

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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.