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Finding the Fourth Proportional to 9,948.24, 14,924.25 and 2,928.24

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Solution

The fourth proportional to 9,948.24, 14,924.25 and 2,928.24 is: 4,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.24 : 14,924.25 = 2,928.24 : x
  2. Step 2: Convert to fraction form
    9,948.24/14,924.25 = 2,928.24/x
  3. Step 3: Cross multiply
    9,948.24x = 14,924.25 × 2,928.24
  4. Step 4: Simplify right side
    9,948.24x = 43,701,785.82
  5. Step 5: Solve for x
    x = 43,701,785.82/9,948.24
  6. Step 6: Final answer
    x = 4,392.92

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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.