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Finding the Fourth Proportional to 9,182.35, 12,673.63 and 5,829.76

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Solution

The fourth proportional to 9,182.35, 12,673.63 and 5,829.76 is: 8,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.35 : 12,673.63 = 5,829.76 : x
  2. Step 2: Convert to fraction form
    9,182.35/12,673.63 = 5,829.76/x
  3. Step 3: Cross multiply
    9,182.35x = 12,673.63 × 5,829.76
  4. Step 4: Simplify right side
    9,182.35x = 73,884,221.23
  5. Step 5: Solve for x
    x = 73,884,221.23/9,182.35
  6. Step 6: Final answer
    x = 8,046.33

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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.