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Finding the Fourth Proportional to 37,487.16, 56,229.48 and 9,785.16

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Solution

The fourth proportional to 37,487.16, 56,229.48 and 9,785.16 is: 14,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,487.16 : 56,229.48 = 9,785.16 : x
  2. Step 2: Convert to fraction form
    37,487.16/56,229.48 = 9,785.16/x
  3. Step 3: Cross multiply
    37,487.16x = 56,229.48 × 9,785.16
  4. Step 4: Simplify right side
    37,487.16x = 550,214,458.52
  5. Step 5: Solve for x
    x = 550,214,458.52/37,487.16
  6. Step 6: Final answer
    x = 14,677.41

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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.