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Finding the Fourth Proportional to 9,787.07, 14,679.40 and 4,167

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Solution

The fourth proportional to 9,787.07, 14,679.40 and 4,167 is: 6,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.07 : 14,679.40 = 4,167 : x
  2. Step 2: Convert to fraction form
    9,787.07/14,679.40 = 4,167/x
  3. Step 3: Cross multiply
    9,787.07x = 14,679.40 × 4,167
  4. Step 4: Simplify right side
    9,787.07x = 61,169,059.80
  5. Step 5: Solve for x
    x = 61,169,059.80/9,787.07
  6. Step 6: Final answer
    x = 6,249.99

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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.