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Finding the Fourth Proportional to 9,810.20, 13,536.74 and 5,829.86

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Solution

The fourth proportional to 9,810.20, 13,536.74 and 5,829.86 is: 8,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.20 : 13,536.74 = 5,829.86 : x
  2. Step 2: Convert to fraction form
    9,810.20/13,536.74 = 5,829.86/x
  3. Step 3: Cross multiply
    9,810.20x = 13,536.74 × 5,829.86
  4. Step 4: Simplify right side
    9,810.20x = 78,917,299.06
  5. Step 5: Solve for x
    x = 78,917,299.06/9,810.20
  6. Step 6: Final answer
    x = 8,044.41

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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.