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Finding the Fourth Proportional to 9,466.98, 14,179.78 and 7,804.86

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Solution

The fourth proportional to 9,466.98, 14,179.78 and 7,804.86 is: 11,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.98 : 14,179.78 = 7,804.86 : x
  2. Step 2: Convert to fraction form
    9,466.98/14,179.78 = 7,804.86/x
  3. Step 3: Cross multiply
    9,466.98x = 14,179.78 × 7,804.86
  4. Step 4: Simplify right side
    9,466.98x = 110,671,197.73
  5. Step 5: Solve for x
    x = 110,671,197.73/9,466.98
  6. Step 6: Final answer
    x = 11,690.23

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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.