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Finding the Fourth Proportional to 9,778.98, 14,597.64 and 8,596.68

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Solution

The fourth proportional to 9,778.98, 14,597.64 and 8,596.68 is: 12,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.98 : 14,597.64 = 8,596.68 : x
  2. Step 2: Convert to fraction form
    9,778.98/14,597.64 = 8,596.68/x
  3. Step 3: Cross multiply
    9,778.98x = 14,597.64 × 8,596.68
  4. Step 4: Simplify right side
    9,778.98x = 125,491,239.84
  5. Step 5: Solve for x
    x = 125,491,239.84/9,778.98
  6. Step 6: Final answer
    x = 12,832.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.