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Finding the Fourth Proportional to 9,426.84, 13,009.50 and 5,449.20

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Solution

The fourth proportional to 9,426.84, 13,009.50 and 5,449.20 is: 7,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.84 : 13,009.50 = 5,449.20 : x
  2. Step 2: Convert to fraction form
    9,426.84/13,009.50 = 5,449.20/x
  3. Step 3: Cross multiply
    9,426.84x = 13,009.50 × 5,449.20
  4. Step 4: Simplify right side
    9,426.84x = 70,891,367.40
  5. Step 5: Solve for x
    x = 70,891,367.40/9,426.84
  6. Step 6: Final answer
    x = 7,520.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.