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Finding the Fourth Proportional to 9,597.88, 13,235.70 and 6,241.78

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Solution

The fourth proportional to 9,597.88, 13,235.70 and 6,241.78 is: 8,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.88 : 13,235.70 = 6,241.78 : x
  2. Step 2: Convert to fraction form
    9,597.88/13,235.70 = 6,241.78/x
  3. Step 3: Cross multiply
    9,597.88x = 13,235.70 × 6,241.78
  4. Step 4: Simplify right side
    9,597.88x = 82,614,327.55
  5. Step 5: Solve for x
    x = 82,614,327.55/9,597.88
  6. Step 6: Final answer
    x = 8,607.56

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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.