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Finding the Fourth Proportional to 6,409.90, 8,993.30 and 6,409.90

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Solution

The fourth proportional to 6,409.90, 8,993.30 and 6,409.90 is: 8,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.90 : 8,993.30 = 6,409.90 : x
  2. Step 2: Convert to fraction form
    6,409.90/8,993.30 = 6,409.90/x
  3. Step 3: Cross multiply
    6,409.90x = 8,993.30 × 6,409.90
  4. Step 4: Simplify right side
    6,409.90x = 57,646,153.67
  5. Step 5: Solve for x
    x = 57,646,153.67/6,409.90
  6. Step 6: Final answer
    x = 8,993.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.