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Finding the Fourth Proportional to 9,482.42, 14,232.37 and 4,805.70

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Solution

The fourth proportional to 9,482.42, 14,232.37 and 4,805.70 is: 7,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.42 : 14,232.37 = 4,805.70 : x
  2. Step 2: Convert to fraction form
    9,482.42/14,232.37 = 4,805.70/x
  3. Step 3: Cross multiply
    9,482.42x = 14,232.37 × 4,805.70
  4. Step 4: Simplify right side
    9,482.42x = 68,396,476.48
  5. Step 5: Solve for x
    x = 68,396,476.48/9,482.42
  6. Step 6: Final answer
    x = 7,212.98

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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.