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Finding the Fourth Proportional to 9,685.44, 14,528.61 and 3,026.48

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Solution

The fourth proportional to 9,685.44, 14,528.61 and 3,026.48 is: 4,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.44 : 14,528.61 = 3,026.48 : x
  2. Step 2: Convert to fraction form
    9,685.44/14,528.61 = 3,026.48/x
  3. Step 3: Cross multiply
    9,685.44x = 14,528.61 × 3,026.48
  4. Step 4: Simplify right side
    9,685.44x = 43,970,459.82
  5. Step 5: Solve for x
    x = 43,970,459.82/9,685.44
  6. Step 6: Final answer
    x = 4,539.85

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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.