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Finding the Fourth Proportional to 9,924.40, 13,692.87 and 6,389.66

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Solution

The fourth proportional to 9,924.40, 13,692.87 and 6,389.66 is: 8,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.40 : 13,692.87 = 6,389.66 : x
  2. Step 2: Convert to fraction form
    9,924.40/13,692.87 = 6,389.66/x
  3. Step 3: Cross multiply
    9,924.40x = 13,692.87 × 6,389.66
  4. Step 4: Simplify right side
    9,924.40x = 87,492,783.72
  5. Step 5: Solve for x
    x = 87,492,783.72/9,924.40
  6. Step 6: Final answer
    x = 8,815.93

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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.