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Finding the Fourth Proportional to 9,926.16, 14,889.56 and 4,993.10

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Solution

The fourth proportional to 9,926.16, 14,889.56 and 4,993.10 is: 7,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.16 : 14,889.56 = 4,993.10 : x
  2. Step 2: Convert to fraction form
    9,926.16/14,889.56 = 4,993.10/x
  3. Step 3: Cross multiply
    9,926.16x = 14,889.56 × 4,993.10
  4. Step 4: Simplify right side
    9,926.16x = 74,345,062.04
  5. Step 5: Solve for x
    x = 74,345,062.04/9,926.16
  6. Step 6: Final answer
    x = 7,489.81

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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.