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Finding the Fourth Proportional to 9,884.96, 13,610.16 and 8,389.76

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Solution

The fourth proportional to 9,884.96, 13,610.16 and 8,389.76 is: 11,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.96 : 13,610.16 = 8,389.76 : x
  2. Step 2: Convert to fraction form
    9,884.96/13,610.16 = 8,389.76/x
  3. Step 3: Cross multiply
    9,884.96x = 13,610.16 × 8,389.76
  4. Step 4: Simplify right side
    9,884.96x = 114,185,975.96
  5. Step 5: Solve for x
    x = 114,185,975.96/9,884.96
  6. Step 6: Final answer
    x = 11,551.49

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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.