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Finding the Fourth Proportional to 9,602.45, 14,393.80 and 6,963.37

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Solution

The fourth proportional to 9,602.45, 14,393.80 and 6,963.37 is: 10,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.45 : 14,393.80 = 6,963.37 : x
  2. Step 2: Convert to fraction form
    9,602.45/14,393.80 = 6,963.37/x
  3. Step 3: Cross multiply
    9,602.45x = 14,393.80 × 6,963.37
  4. Step 4: Simplify right side
    9,602.45x = 100,229,327.83
  5. Step 5: Solve for x
    x = 100,229,327.83/9,602.45
  6. Step 6: Final answer
    x = 10,437.89

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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.