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Finding the Fourth Proportional to 9,920.24, 14,873.06 and 4,729.76

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Solution

The fourth proportional to 9,920.24, 14,873.06 and 4,729.76 is: 7,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.24 : 14,873.06 = 4,729.76 : x
  2. Step 2: Convert to fraction form
    9,920.24/14,873.06 = 4,729.76/x
  3. Step 3: Cross multiply
    9,920.24x = 14,873.06 × 4,729.76
  4. Step 4: Simplify right side
    9,920.24x = 70,345,997.50
  5. Step 5: Solve for x
    x = 70,345,997.50/9,920.24
  6. Step 6: Final answer
    x = 7,091.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.