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Finding the Fourth Proportional to 6,250.19, 9,381.35 and 3,478.16

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Solution

The fourth proportional to 6,250.19, 9,381.35 and 3,478.16 is: 5,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250.19 : 9,381.35 = 3,478.16 : x
  2. Step 2: Convert to fraction form
    6,250.19/9,381.35 = 3,478.16/x
  3. Step 3: Cross multiply
    6,250.19x = 9,381.35 × 3,478.16
  4. Step 4: Simplify right side
    6,250.19x = 32,629,868.46
  5. Step 5: Solve for x
    x = 32,629,868.46/6,250.19
  6. Step 6: Final answer
    x = 5,220.62

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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.