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Finding the Fourth Proportional to 6,596.17, 9,102.64 and 3,612.01

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Solution

The fourth proportional to 6,596.17, 9,102.64 and 3,612.01 is: 4,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.17 : 9,102.64 = 3,612.01 : x
  2. Step 2: Convert to fraction form
    6,596.17/9,102.64 = 3,612.01/x
  3. Step 3: Cross multiply
    6,596.17x = 9,102.64 × 3,612.01
  4. Step 4: Simplify right side
    6,596.17x = 32,878,826.71
  5. Step 5: Solve for x
    x = 32,878,826.71/6,596.17
  6. Step 6: Final answer
    x = 4,984.53

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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.