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Finding the Fourth Proportional to 6,596.15, 9,102.74 and 3,612.26

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Solution

The fourth proportional to 6,596.15, 9,102.74 and 3,612.26 is: 4,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.15 : 9,102.74 = 3,612.26 : x
  2. Step 2: Convert to fraction form
    6,596.15/9,102.74 = 3,612.26/x
  3. Step 3: Cross multiply
    6,596.15x = 9,102.74 × 3,612.26
  4. Step 4: Simplify right side
    6,596.15x = 32,881,445.53
  5. Step 5: Solve for x
    x = 32,881,445.53/6,596.15
  6. Step 6: Final answer
    x = 4,984.95

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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.