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Finding the Fourth Proportional to 6,690.84, 9,232.05 and 3,706.53

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Solution

The fourth proportional to 6,690.84, 9,232.05 and 3,706.53 is: 5,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.84 : 9,232.05 = 3,706.53 : x
  2. Step 2: Convert to fraction form
    6,690.84/9,232.05 = 3,706.53/x
  3. Step 3: Cross multiply
    6,690.84x = 9,232.05 × 3,706.53
  4. Step 4: Simplify right side
    6,690.84x = 34,218,870.29
  5. Step 5: Solve for x
    x = 34,218,870.29/6,690.84
  6. Step 6: Final answer
    x = 5,114.29

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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.