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Finding the Fourth Proportional to 9,380.40, 14,070.62 and 3,833.74

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Solution

The fourth proportional to 9,380.40, 14,070.62 and 3,833.74 is: 5,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.40 : 14,070.62 = 3,833.74 : x
  2. Step 2: Convert to fraction form
    9,380.40/14,070.62 = 3,833.74/x
  3. Step 3: Cross multiply
    9,380.40x = 14,070.62 × 3,833.74
  4. Step 4: Simplify right side
    9,380.40x = 53,943,098.72
  5. Step 5: Solve for x
    x = 53,943,098.72/9,380.40
  6. Step 6: Final answer
    x = 5,750.62

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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.