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Finding the Fourth Proportional to 9,926.30, 14,888.64 and 5,249.36

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Solution

The fourth proportional to 9,926.30, 14,888.64 and 5,249.36 is: 7,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.30 : 14,888.64 = 5,249.36 : x
  2. Step 2: Convert to fraction form
    9,926.30/14,888.64 = 5,249.36/x
  3. Step 3: Cross multiply
    9,926.30x = 14,888.64 × 5,249.36
  4. Step 4: Simplify right side
    9,926.30x = 78,155,831.27
  5. Step 5: Solve for x
    x = 78,155,831.27/9,926.30
  6. Step 6: Final answer
    x = 7,873.61

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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.