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Finding the Fourth Proportional to 9,902.91, 14,846.24 and 4,635.36

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Solution

The fourth proportional to 9,902.91, 14,846.24 and 4,635.36 is: 6,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.91 : 14,846.24 = 4,635.36 : x
  2. Step 2: Convert to fraction form
    9,902.91/14,846.24 = 4,635.36/x
  3. Step 3: Cross multiply
    9,902.91x = 14,846.24 × 4,635.36
  4. Step 4: Simplify right side
    9,902.91x = 68,817,678.63
  5. Step 5: Solve for x
    x = 68,817,678.63/9,902.91
  6. Step 6: Final answer
    x = 6,949.24

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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.