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Finding the Fourth Proportional to 9,809.04, 14,716.02 and 2,883.54

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Solution

The fourth proportional to 9,809.04, 14,716.02 and 2,883.54 is: 4,326.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.04 : 14,716.02 = 2,883.54 : x
  2. Step 2: Convert to fraction form
    9,809.04/14,716.02 = 2,883.54/x
  3. Step 3: Cross multiply
    9,809.04x = 14,716.02 × 2,883.54
  4. Step 4: Simplify right side
    9,809.04x = 42,434,232.31
  5. Step 5: Solve for x
    x = 42,434,232.31/9,809.04
  6. Step 6: Final answer
    x = 4,326.03

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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.