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Finding the Fourth Proportional to 9,659.05, 13,329.32 and 5,410.07

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Solution

The fourth proportional to 9,659.05, 13,329.32 and 5,410.07 is: 7,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.05 : 13,329.32 = 5,410.07 : x
  2. Step 2: Convert to fraction form
    9,659.05/13,329.32 = 5,410.07/x
  3. Step 3: Cross multiply
    9,659.05x = 13,329.32 × 5,410.07
  4. Step 4: Simplify right side
    9,659.05x = 72,112,601.10
  5. Step 5: Solve for x
    x = 72,112,601.10/9,659.05
  6. Step 6: Final answer
    x = 7,465.81

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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.