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Finding the Fourth Proportional to 9,858.54, 14,783.94 and 4,013.04

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Solution

The fourth proportional to 9,858.54, 14,783.94 and 4,013.04 is: 6,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.54 : 14,783.94 = 4,013.04 : x
  2. Step 2: Convert to fraction form
    9,858.54/14,783.94 = 4,013.04/x
  3. Step 3: Cross multiply
    9,858.54x = 14,783.94 × 4,013.04
  4. Step 4: Simplify right side
    9,858.54x = 59,328,542.58
  5. Step 5: Solve for x
    x = 59,328,542.58/9,858.54
  6. Step 6: Final answer
    x = 6,017.98

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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.