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Finding the Fourth Proportional to 9,883.83, 14,806.31 and 6,549.87

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Solution

The fourth proportional to 9,883.83, 14,806.31 and 6,549.87 is: 9,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.83 : 14,806.31 = 6,549.87 : x
  2. Step 2: Convert to fraction form
    9,883.83/14,806.31 = 6,549.87/x
  3. Step 3: Cross multiply
    9,883.83x = 14,806.31 × 6,549.87
  4. Step 4: Simplify right side
    9,883.83x = 96,979,405.68
  5. Step 5: Solve for x
    x = 96,979,405.68/9,883.83
  6. Step 6: Final answer
    x = 9,811.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.