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Finding the Fourth Proportional to 37,712.94, 56,568.06 and 9,632.76

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Solution

The fourth proportional to 37,712.94, 56,568.06 and 9,632.76 is: 14,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,712.94 : 56,568.06 = 9,632.76 : x
  2. Step 2: Convert to fraction form
    37,712.94/56,568.06 = 9,632.76/x
  3. Step 3: Cross multiply
    37,712.94x = 56,568.06 × 9,632.76
  4. Step 4: Simplify right side
    37,712.94x = 544,906,545.65
  5. Step 5: Solve for x
    x = 544,906,545.65/37,712.94
  6. Step 6: Final answer
    x = 14,448.80

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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.