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Finding the Fourth Proportional to 6,596.73, 9,103.47 and 3,612.63

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Solution

The fourth proportional to 6,596.73, 9,103.47 and 3,612.63 is: 4,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.73 : 9,103.47 = 3,612.63 : x
  2. Step 2: Convert to fraction form
    6,596.73/9,103.47 = 3,612.63/x
  3. Step 3: Cross multiply
    6,596.73x = 9,103.47 × 3,612.63
  4. Step 4: Simplify right side
    6,596.73x = 32,887,468.83
  5. Step 5: Solve for x
    x = 32,887,468.83/6,596.73
  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.