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Finding the Fourth Proportional to 9,380.90, 14,069.82 and 3,140.84

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Solution

The fourth proportional to 9,380.90, 14,069.82 and 3,140.84 is: 4,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.90 : 14,069.82 = 3,140.84 : x
  2. Step 2: Convert to fraction form
    9,380.90/14,069.82 = 3,140.84/x
  3. Step 3: Cross multiply
    9,380.90x = 14,069.82 × 3,140.84
  4. Step 4: Simplify right side
    9,380.90x = 44,191,053.45
  5. Step 5: Solve for x
    x = 44,191,053.45/9,380.90
  6. Step 6: Final answer
    x = 4,710.75

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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.