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Finding the Fourth Proportional to 9,659.62, 13,329.16 and 5,410.08

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Solution

The fourth proportional to 9,659.62, 13,329.16 and 5,410.08 is: 7,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.62 : 13,329.16 = 5,410.08 : x
  2. Step 2: Convert to fraction form
    9,659.62/13,329.16 = 5,410.08/x
  3. Step 3: Cross multiply
    9,659.62x = 13,329.16 × 5,410.08
  4. Step 4: Simplify right side
    9,659.62x = 72,111,821.93
  5. Step 5: Solve for x
    x = 72,111,821.93/9,659.62
  6. Step 6: Final answer
    x = 7,465.29

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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.