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Finding the Fourth Proportional to 9,146.01, 13,700.75 and 4,208.88

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Solution

The fourth proportional to 9,146.01, 13,700.75 and 4,208.88 is: 6,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.01 : 13,700.75 = 4,208.88 : x
  2. Step 2: Convert to fraction form
    9,146.01/13,700.75 = 4,208.88/x
  3. Step 3: Cross multiply
    9,146.01x = 13,700.75 × 4,208.88
  4. Step 4: Simplify right side
    9,146.01x = 57,664,791.62
  5. Step 5: Solve for x
    x = 57,664,791.62/9,146.01
  6. Step 6: Final answer
    x = 6,304.91

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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.