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Finding the Fourth Proportional to 6,596.36, 9,102.94 and 3,612.14

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Solution

The fourth proportional to 6,596.36, 9,102.94 and 3,612.14 is: 4,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.36 : 9,102.94 = 3,612.14 : x
  2. Step 2: Convert to fraction form
    6,596.36/9,102.94 = 3,612.14/x
  3. Step 3: Cross multiply
    6,596.36x = 9,102.94 × 3,612.14
  4. Step 4: Simplify right side
    6,596.36x = 32,881,030.12
  5. Step 5: Solve for x
    x = 32,881,030.12/6,596.36
  6. Step 6: Final answer
    x = 4,984.73

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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.