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Finding the Fourth Proportional to 9,826.16, 13,559.96 and 5,410.16

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Solution

The fourth proportional to 9,826.16, 13,559.96 and 5,410.16 is: 7,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.16 : 13,559.96 = 5,410.16 : x
  2. Step 2: Convert to fraction form
    9,826.16/13,559.96 = 5,410.16/x
  3. Step 3: Cross multiply
    9,826.16x = 13,559.96 × 5,410.16
  4. Step 4: Simplify right side
    9,826.16x = 73,361,553.19
  5. Step 5: Solve for x
    x = 73,361,553.19/9,826.16
  6. Step 6: Final answer
    x = 7,465.94

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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.