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Finding the Fourth Proportional to 9,820.44, 13,536.44 and 6,632.71

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Solution

The fourth proportional to 9,820.44, 13,536.44 and 6,632.71 is: 9,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.44 : 13,536.44 = 6,632.71 : x
  2. Step 2: Convert to fraction form
    9,820.44/13,536.44 = 6,632.71/x
  3. Step 3: Cross multiply
    9,820.44x = 13,536.44 × 6,632.71
  4. Step 4: Simplify right side
    9,820.44x = 89,783,280.95
  5. Step 5: Solve for x
    x = 89,783,280.95/9,820.44
  6. Step 6: Final answer
    x = 9,142.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.