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Finding the Fourth Proportional to 6,509.14, 8,980.29 and 3,990.34

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Solution

The fourth proportional to 6,509.14, 8,980.29 and 3,990.34 is: 5,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.14 : 8,980.29 = 3,990.34 : x
  2. Step 2: Convert to fraction form
    6,509.14/8,980.29 = 3,990.34/x
  3. Step 3: Cross multiply
    6,509.14x = 8,980.29 × 3,990.34
  4. Step 4: Simplify right side
    6,509.14x = 35,834,410.40
  5. Step 5: Solve for x
    x = 35,834,410.40/6,509.14
  6. Step 6: Final answer
    x = 5,505.24

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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.