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Finding the Fourth Proportional to 9,490.87, 14,245.00 and 4,814.11

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Solution

The fourth proportional to 9,490.87, 14,245.00 and 4,814.11 is: 7,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.87 : 14,245.00 = 4,814.11 : x
  2. Step 2: Convert to fraction form
    9,490.87/14,245.00 = 4,814.11/x
  3. Step 3: Cross multiply
    9,490.87x = 14,245.00 × 4,814.11
  4. Step 4: Simplify right side
    9,490.87x = 68,577,002.72
  5. Step 5: Solve for x
    x = 68,577,002.72/9,490.87
  6. Step 6: Final answer
    x = 7,225.58

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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.