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Finding the Fourth Proportional to 9,896.40, 14,807.66 and 5,738.36

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Solution

The fourth proportional to 9,896.40, 14,807.66 and 5,738.36 is: 8,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.40 : 14,807.66 = 5,738.36 : x
  2. Step 2: Convert to fraction form
    9,896.40/14,807.66 = 5,738.36/x
  3. Step 3: Cross multiply
    9,896.40x = 14,807.66 × 5,738.36
  4. Step 4: Simplify right side
    9,896.40x = 84,971,581.11
  5. Step 5: Solve for x
    x = 84,971,581.11/9,896.40
  6. Step 6: Final answer
    x = 8,586.11

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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.