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Finding the Fourth Proportional to 9,858.64, 14,787.54 and 4,015.36

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Solution

The fourth proportional to 9,858.64, 14,787.54 and 4,015.36 is: 6,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.64 : 14,787.54 = 4,015.36 : x
  2. Step 2: Convert to fraction form
    9,858.64/14,787.54 = 4,015.36/x
  3. Step 3: Cross multiply
    9,858.64x = 14,787.54 × 4,015.36
  4. Step 4: Simplify right side
    9,858.64x = 59,377,296.61
  5. Step 5: Solve for x
    x = 59,377,296.61/9,858.64
  6. Step 6: Final answer
    x = 6,022.87

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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.