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Finding the Fourth Proportional to 9,539.43, 14,309 and 2,965.60

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Solution

The fourth proportional to 9,539.43, 14,309 and 2,965.60 is: 4,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.43 : 14,309 = 2,965.60 : x
  2. Step 2: Convert to fraction form
    9,539.43/14,309 = 2,965.60/x
  3. Step 3: Cross multiply
    9,539.43x = 14,309 × 2,965.60
  4. Step 4: Simplify right side
    9,539.43x = 42,434,770.40
  5. Step 5: Solve for x
    x = 42,434,770.40/9,539.43
  6. Step 6: Final answer
    x = 4,448.35

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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.