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Finding the Fourth Proportional to 6,596.14, 9,102.69 and 3,612.00

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Solution

The fourth proportional to 6,596.14, 9,102.69 and 3,612.00 is: 4,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.14 : 9,102.69 = 3,612.00 : x
  2. Step 2: Convert to fraction form
    6,596.14/9,102.69 = 3,612.00/x
  3. Step 3: Cross multiply
    6,596.14x = 9,102.69 × 3,612.00
  4. Step 4: Simplify right side
    6,596.14x = 32,878,870.77
  5. Step 5: Solve for x
    x = 32,878,870.77/6,596.14
  6. Step 6: Final answer
    x = 4,984.56

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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.