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Finding the Fourth Proportional to 9,546.90, 14,304.69 and 9,182.40

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Solution

The fourth proportional to 9,546.90, 14,304.69 and 9,182.40 is: 13,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.90 : 14,304.69 = 9,182.40 : x
  2. Step 2: Convert to fraction form
    9,546.90/14,304.69 = 9,182.40/x
  3. Step 3: Cross multiply
    9,546.90x = 14,304.69 × 9,182.40
  4. Step 4: Simplify right side
    9,546.90x = 131,351,385.46
  5. Step 5: Solve for x
    x = 131,351,385.46/9,546.90
  6. Step 6: Final answer
    x = 13,758.54

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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.