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Finding the Fourth Proportional to 9,544.86, 14,317.29 and 4,928.22

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Solution

The fourth proportional to 9,544.86, 14,317.29 and 4,928.22 is: 7,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.86 : 14,317.29 = 4,928.22 : x
  2. Step 2: Convert to fraction form
    9,544.86/14,317.29 = 4,928.22/x
  3. Step 3: Cross multiply
    9,544.86x = 14,317.29 × 4,928.22
  4. Step 4: Simplify right side
    9,544.86x = 70,558,754.92
  5. Step 5: Solve for x
    x = 70,558,754.92/9,544.86
  6. Step 6: Final answer
    x = 7,392.33

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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.