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Finding the Fourth Proportional to 9,597.20, 14,387.80 and 4,054.80

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Solution

The fourth proportional to 9,597.20, 14,387.80 and 4,054.80 is: 6,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.20 : 14,387.80 = 4,054.80 : x
  2. Step 2: Convert to fraction form
    9,597.20/14,387.80 = 4,054.80/x
  3. Step 3: Cross multiply
    9,597.20x = 14,387.80 × 4,054.80
  4. Step 4: Simplify right side
    9,597.20x = 58,339,651.44
  5. Step 5: Solve for x
    x = 58,339,651.44/9,597.20
  6. Step 6: Final answer
    x = 6,078.82

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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.