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Finding the Fourth Proportional to 9,858.41, 14,787.01 and 4,014.87

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Solution

The fourth proportional to 9,858.41, 14,787.01 and 4,014.87 is: 6,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.41 : 14,787.01 = 4,014.87 : x
  2. Step 2: Convert to fraction form
    9,858.41/14,787.01 = 4,014.87/x
  3. Step 3: Cross multiply
    9,858.41x = 14,787.01 × 4,014.87
  4. Step 4: Simplify right side
    9,858.41x = 59,367,849.82
  5. Step 5: Solve for x
    x = 59,367,849.82/9,858.41
  6. Step 6: Final answer
    x = 6,022.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.