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Finding the Fourth Proportional to 9,692.06, 14,537.78 and 4,072.71

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Solution

The fourth proportional to 9,692.06, 14,537.78 and 4,072.71 is: 6,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.06 : 14,537.78 = 4,072.71 : x
  2. Step 2: Convert to fraction form
    9,692.06/14,537.78 = 4,072.71/x
  3. Step 3: Cross multiply
    9,692.06x = 14,537.78 × 4,072.71
  4. Step 4: Simplify right side
    9,692.06x = 59,208,088.75
  5. Step 5: Solve for x
    x = 59,208,088.75/9,692.06
  6. Step 6: Final answer
    x = 6,108.93

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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.