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Finding the Fourth Proportional to 9,539.68, 14,298.46 and 3,612.80

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Solution

The fourth proportional to 9,539.68, 14,298.46 and 3,612.80 is: 5,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.68 : 14,298.46 = 3,612.80 : x
  2. Step 2: Convert to fraction form
    9,539.68/14,298.46 = 3,612.80/x
  3. Step 3: Cross multiply
    9,539.68x = 14,298.46 × 3,612.80
  4. Step 4: Simplify right side
    9,539.68x = 51,657,476.29
  5. Step 5: Solve for x
    x = 51,657,476.29/9,539.68
  6. Step 6: Final answer
    x = 5,415.01

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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.