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Finding the Fourth Proportional to 7,090.86, 9,786.27 and 5,409.30

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Solution

The fourth proportional to 7,090.86, 9,786.27 and 5,409.30 is: 7,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.86 : 9,786.27 = 5,409.30 : x
  2. Step 2: Convert to fraction form
    7,090.86/9,786.27 = 5,409.30/x
  3. Step 3: Cross multiply
    7,090.86x = 9,786.27 × 5,409.30
  4. Step 4: Simplify right side
    7,090.86x = 52,936,870.31
  5. Step 5: Solve for x
    x = 52,936,870.31/7,090.86
  6. Step 6: Final answer
    x = 7,465.51

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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.