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Finding the Fourth Proportional to 9,815.84, 14,723.74 and 8,077.44

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Solution

The fourth proportional to 9,815.84, 14,723.74 and 8,077.44 is: 12,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.84 : 14,723.74 = 8,077.44 : x
  2. Step 2: Convert to fraction form
    9,815.84/14,723.74 = 8,077.44/x
  3. Step 3: Cross multiply
    9,815.84x = 14,723.74 × 8,077.44
  4. Step 4: Simplify right side
    9,815.84x = 118,930,126.43
  5. Step 5: Solve for x
    x = 118,930,126.43/9,815.84
  6. Step 6: Final answer
    x = 12,116.14

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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.