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Finding the Fourth Proportional to 37,606.86, 56,409.85 and 9,143.98

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Solution

The fourth proportional to 37,606.86, 56,409.85 and 9,143.98 is: 13,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,606.86 : 56,409.85 = 9,143.98 : x
  2. Step 2: Convert to fraction form
    37,606.86/56,409.85 = 9,143.98/x
  3. Step 3: Cross multiply
    37,606.86x = 56,409.85 × 9,143.98
  4. Step 4: Simplify right side
    37,606.86x = 515,810,362.65
  5. Step 5: Solve for x
    x = 515,810,362.65/37,606.86
  6. Step 6: Final answer
    x = 13,715.86

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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.