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Finding the Fourth Proportional to 9,776.90, 14,665.38 and 2,381.38

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Solution

The fourth proportional to 9,776.90, 14,665.38 and 2,381.38 is: 3,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.90 : 14,665.38 = 2,381.38 : x
  2. Step 2: Convert to fraction form
    9,776.90/14,665.38 = 2,381.38/x
  3. Step 3: Cross multiply
    9,776.90x = 14,665.38 × 2,381.38
  4. Step 4: Simplify right side
    9,776.90x = 34,923,842.62
  5. Step 5: Solve for x
    x = 34,923,842.62/9,776.90
  6. Step 6: Final answer
    x = 3,572.08

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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.