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Finding the Fourth Proportional to 9,376.84, 14,065.27 and 3,830.18

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Solution

The fourth proportional to 9,376.84, 14,065.27 and 3,830.18 is: 5,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.84 : 14,065.27 = 3,830.18 : x
  2. Step 2: Convert to fraction form
    9,376.84/14,065.27 = 3,830.18/x
  3. Step 3: Cross multiply
    9,376.84x = 14,065.27 × 3,830.18
  4. Step 4: Simplify right side
    9,376.84x = 53,872,515.85
  5. Step 5: Solve for x
    x = 53,872,515.85/9,376.84
  6. Step 6: Final answer
    x = 5,745.28

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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.