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Finding the Fourth Proportional to 9,409.48, 12,952.49 and 8,132.77

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Solution

The fourth proportional to 9,409.48, 12,952.49 and 8,132.77 is: 11,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.48 : 12,952.49 = 8,132.77 : x
  2. Step 2: Convert to fraction form
    9,409.48/12,952.49 = 8,132.77/x
  3. Step 3: Cross multiply
    9,409.48x = 12,952.49 × 8,132.77
  4. Step 4: Simplify right side
    9,409.48x = 105,339,656.93
  5. Step 5: Solve for x
    x = 105,339,656.93/9,409.48
  6. Step 6: Final answer
    x = 11,195.06

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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.