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Finding the Fourth Proportional to 9,539.84, 14,309.12 and 3,298.56

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Solution

The fourth proportional to 9,539.84, 14,309.12 and 3,298.56 is: 4,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.84 : 14,309.12 = 3,298.56 : x
  2. Step 2: Convert to fraction form
    9,539.84/14,309.12 = 3,298.56/x
  3. Step 3: Cross multiply
    9,539.84x = 14,309.12 × 3,298.56
  4. Step 4: Simplify right side
    9,539.84x = 47,199,490.87
  5. Step 5: Solve for x
    x = 47,199,490.87/9,539.84
  6. Step 6: Final answer
    x = 4,947.62

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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.