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Finding the Fourth Proportional to 9,524.60, 14,287.84 and 3,283.79

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Solution

The fourth proportional to 9,524.60, 14,287.84 and 3,283.79 is: 4,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.60 : 14,287.84 = 3,283.79 : x
  2. Step 2: Convert to fraction form
    9,524.60/14,287.84 = 3,283.79/x
  3. Step 3: Cross multiply
    9,524.60x = 14,287.84 × 3,283.79
  4. Step 4: Simplify right side
    9,524.60x = 46,918,186.46
  5. Step 5: Solve for x
    x = 46,918,186.46/9,524.60
  6. Step 6: Final answer
    x = 4,926.00

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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.