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Finding the Fourth Proportional to 9,506.75, 14,258.90 and 3,959.06

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Solution

The fourth proportional to 9,506.75, 14,258.90 and 3,959.06 is: 5,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.75 : 14,258.90 = 3,959.06 : x
  2. Step 2: Convert to fraction form
    9,506.75/14,258.90 = 3,959.06/x
  3. Step 3: Cross multiply
    9,506.75x = 14,258.90 × 3,959.06
  4. Step 4: Simplify right side
    9,506.75x = 56,451,840.63
  5. Step 5: Solve for x
    x = 56,451,840.63/9,506.75
  6. Step 6: Final answer
    x = 5,938.08

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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.