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Finding the Fourth Proportional to 9,482.68, 14,223.38 and 2,908.80

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Solution

The fourth proportional to 9,482.68, 14,223.38 and 2,908.80 is: 4,363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.68 : 14,223.38 = 2,908.80 : x
  2. Step 2: Convert to fraction form
    9,482.68/14,223.38 = 2,908.80/x
  3. Step 3: Cross multiply
    9,482.68x = 14,223.38 × 2,908.80
  4. Step 4: Simplify right side
    9,482.68x = 41,373,009.57
  5. Step 5: Solve for x
    x = 41,373,009.57/9,482.68
  6. Step 6: Final answer
    x = 4,363.01

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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.