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Finding the Fourth Proportional to 9,926.30, 14,889.76 and 4,993.24

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Solution

The fourth proportional to 9,926.30, 14,889.76 and 4,993.24 is: 7,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.30 : 14,889.76 = 4,993.24 : x
  2. Step 2: Convert to fraction form
    9,926.30/14,889.76 = 4,993.24/x
  3. Step 3: Cross multiply
    9,926.30x = 14,889.76 × 4,993.24
  4. Step 4: Simplify right side
    9,926.30x = 74,348,145.22
  5. Step 5: Solve for x
    x = 74,348,145.22/9,926.30
  6. Step 6: Final answer
    x = 7,490.02

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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.