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Finding the Fourth Proportional to 9,393.93, 12,963.46 and 5,202.09

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Solution

The fourth proportional to 9,393.93, 12,963.46 and 5,202.09 is: 7,178.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.93 : 12,963.46 = 5,202.09 : x
  2. Step 2: Convert to fraction form
    9,393.93/12,963.46 = 5,202.09/x
  3. Step 3: Cross multiply
    9,393.93x = 12,963.46 × 5,202.09
  4. Step 4: Simplify right side
    9,393.93x = 67,437,085.63
  5. Step 5: Solve for x
    x = 67,437,085.63/9,393.93
  6. Step 6: Final answer
    x = 7,178.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.