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Finding the Fourth Proportional to 9,789.66, 13,501.86 and 8,969.52

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Solution

The fourth proportional to 9,789.66, 13,501.86 and 8,969.52 is: 12,370.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.66 : 13,501.86 = 8,969.52 : x
  2. Step 2: Convert to fraction form
    9,789.66/13,501.86 = 8,969.52/x
  3. Step 3: Cross multiply
    9,789.66x = 13,501.86 × 8,969.52
  4. Step 4: Simplify right side
    9,789.66x = 121,105,203.31
  5. Step 5: Solve for x
    x = 121,105,203.31/9,789.66
  6. Step 6: Final answer
    x = 12,370.73

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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.