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Finding the Fourth Proportional to 36,006.34, 54,008.87 and 9,713.86

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Solution

The fourth proportional to 36,006.34, 54,008.87 and 9,713.86 is: 14,570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,006.34 : 54,008.87 = 9,713.86 : x
  2. Step 2: Convert to fraction form
    36,006.34/54,008.87 = 9,713.86/x
  3. Step 3: Cross multiply
    36,006.34x = 54,008.87 × 9,713.86
  4. Step 4: Simplify right side
    36,006.34x = 524,634,601.94
  5. Step 5: Solve for x
    x = 524,634,601.94/36,006.34
  6. Step 6: Final answer
    x = 14,570.62

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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.