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Finding the Fourth Proportional to 9,539.60, 14,308.60 and 2,965.68

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Solution

The fourth proportional to 9,539.60, 14,308.60 and 2,965.68 is: 4,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.60 : 14,308.60 = 2,965.68 : x
  2. Step 2: Convert to fraction form
    9,539.60/14,308.60 = 2,965.68/x
  3. Step 3: Cross multiply
    9,539.60x = 14,308.60 × 2,965.68
  4. Step 4: Simplify right side
    9,539.60x = 42,434,728.85
  5. Step 5: Solve for x
    x = 42,434,728.85/9,539.60
  6. Step 6: Final answer
    x = 4,448.27

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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.