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Finding the Fourth Proportional to 9,858.51, 14,787.77 and 3,284.28

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Solution

The fourth proportional to 9,858.51, 14,787.77 and 3,284.28 is: 4,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.51 : 14,787.77 = 3,284.28 : x
  2. Step 2: Convert to fraction form
    9,858.51/14,787.77 = 3,284.28/x
  3. Step 3: Cross multiply
    9,858.51x = 14,787.77 × 3,284.28
  4. Step 4: Simplify right side
    9,858.51x = 48,567,160.83
  5. Step 5: Solve for x
    x = 48,567,160.83/9,858.51
  6. Step 6: Final answer
    x = 4,926.42

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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.