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Finding the Fourth Proportional to 6,165.84, 9,232.34 and 4,818.20

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Solution

The fourth proportional to 6,165.84, 9,232.34 and 4,818.20 is: 7,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.84 : 9,232.34 = 4,818.20 : x
  2. Step 2: Convert to fraction form
    6,165.84/9,232.34 = 4,818.20/x
  3. Step 3: Cross multiply
    6,165.84x = 9,232.34 × 4,818.20
  4. Step 4: Simplify right side
    6,165.84x = 44,483,190.34
  5. Step 5: Solve for x
    x = 44,483,190.34/6,165.84
  6. Step 6: Final answer
    x = 7,214.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.