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Finding the Fourth Proportional to 9,949.10, 14,911.63 and 4,396.14

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Solution

The fourth proportional to 9,949.10, 14,911.63 and 4,396.14 is: 6,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.10 : 14,911.63 = 4,396.14 : x
  2. Step 2: Convert to fraction form
    9,949.10/14,911.63 = 4,396.14/x
  3. Step 3: Cross multiply
    9,949.10x = 14,911.63 × 4,396.14
  4. Step 4: Simplify right side
    9,949.10x = 65,553,602.12
  5. Step 5: Solve for x
    x = 65,553,602.12/9,949.10
  6. Step 6: Final answer
    x = 6,588.90

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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.