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Finding the Fourth Proportional to 9,814.36, 14,712.89 and 3,895.40

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Solution

The fourth proportional to 9,814.36, 14,712.89 and 3,895.40 is: 5,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.36 : 14,712.89 = 3,895.40 : x
  2. Step 2: Convert to fraction form
    9,814.36/14,712.89 = 3,895.40/x
  3. Step 3: Cross multiply
    9,814.36x = 14,712.89 × 3,895.40
  4. Step 4: Simplify right side
    9,814.36x = 57,312,583.05
  5. Step 5: Solve for x
    x = 57,312,583.05/9,814.36
  6. Step 6: Final answer
    x = 5,839.67

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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.