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Finding the Fourth Proportional to 9,858.66, 14,787.99 and 9,639.96

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Solution

The fourth proportional to 9,858.66, 14,787.99 and 9,639.96 is: 14,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.66 : 14,787.99 = 9,639.96 : x
  2. Step 2: Convert to fraction form
    9,858.66/14,787.99 = 9,639.96/x
  3. Step 3: Cross multiply
    9,858.66x = 14,787.99 × 9,639.96
  4. Step 4: Simplify right side
    9,858.66x = 142,555,632.08
  5. Step 5: Solve for x
    x = 142,555,632.08/9,858.66
  6. Step 6: Final answer
    x = 14,459.94

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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.