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Finding the Fourth Proportional to 6,509.60, 8,983.27 and 3,525.43

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Solution

The fourth proportional to 6,509.60, 8,983.27 and 3,525.43 is: 4,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.60 : 8,983.27 = 3,525.43 : x
  2. Step 2: Convert to fraction form
    6,509.60/8,983.27 = 3,525.43/x
  3. Step 3: Cross multiply
    6,509.60x = 8,983.27 × 3,525.43
  4. Step 4: Simplify right side
    6,509.60x = 31,669,844.64
  5. Step 5: Solve for x
    x = 31,669,844.64/6,509.60
  6. Step 6: Final answer
    x = 4,865.10

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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.