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Finding the Fourth Proportional to 6,596.37, 9,102.42 and 3,612.15

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Solution

The fourth proportional to 6,596.37, 9,102.42 and 3,612.15 is: 4,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.37 : 9,102.42 = 3,612.15 : x
  2. Step 2: Convert to fraction form
    6,596.37/9,102.42 = 3,612.15/x
  3. Step 3: Cross multiply
    6,596.37x = 9,102.42 × 3,612.15
  4. Step 4: Simplify right side
    6,596.37x = 32,879,306.40
  5. Step 5: Solve for x
    x = 32,879,306.40/6,596.37
  6. Step 6: Final answer
    x = 4,984.45

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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.