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Finding the Fourth Proportional to 9,778.92, 13,482.21 and 6,235.98

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Solution

The fourth proportional to 9,778.92, 13,482.21 and 6,235.98 is: 8,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.92 : 13,482.21 = 6,235.98 : x
  2. Step 2: Convert to fraction form
    9,778.92/13,482.21 = 6,235.98/x
  3. Step 3: Cross multiply
    9,778.92x = 13,482.21 × 6,235.98
  4. Step 4: Simplify right side
    9,778.92x = 84,074,791.92
  5. Step 5: Solve for x
    x = 84,074,791.92/9,778.92
  6. Step 6: Final answer
    x = 8,597.55

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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.