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Finding the Fourth Proportional to 6,596.86, 9,103.63 and 3,612.64

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Solution

The fourth proportional to 6,596.86, 9,103.63 and 3,612.64 is: 4,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.86 : 9,103.63 = 3,612.64 : x
  2. Step 2: Convert to fraction form
    6,596.86/9,103.63 = 3,612.64/x
  3. Step 3: Cross multiply
    6,596.86x = 9,103.63 × 3,612.64
  4. Step 4: Simplify right side
    6,596.86x = 32,888,137.88
  5. Step 5: Solve for x
    x = 32,888,137.88/6,596.86
  6. Step 6: Final answer
    x = 4,985.42

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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.