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Finding the Fourth Proportional to 9,504.66, 14,258.40 and 3,266.28

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Solution

The fourth proportional to 9,504.66, 14,258.40 and 3,266.28 is: 4,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.66 : 14,258.40 = 3,266.28 : x
  2. Step 2: Convert to fraction form
    9,504.66/14,258.40 = 3,266.28/x
  3. Step 3: Cross multiply
    9,504.66x = 14,258.40 × 3,266.28
  4. Step 4: Simplify right side
    9,504.66x = 46,571,926.75
  5. Step 5: Solve for x
    x = 46,571,926.75/9,504.66
  6. Step 6: Final answer
    x = 4,899.90

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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.