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Finding the Fourth Proportional to 9,483.72, 13,081.62 and 6,826.92

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Solution

The fourth proportional to 9,483.72, 13,081.62 and 6,826.92 is: 9,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.72 : 13,081.62 = 6,826.92 : x
  2. Step 2: Convert to fraction form
    9,483.72/13,081.62 = 6,826.92/x
  3. Step 3: Cross multiply
    9,483.72x = 13,081.62 × 6,826.92
  4. Step 4: Simplify right side
    9,483.72x = 89,307,173.21
  5. Step 5: Solve for x
    x = 89,307,173.21/9,483.72
  6. Step 6: Final answer
    x = 9,416.89

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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.