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Finding the Fourth Proportional to 9,768.04, 14,618.04 and 7,992.52

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Solution

The fourth proportional to 9,768.04, 14,618.04 and 7,992.52 is: 11,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.04 : 14,618.04 = 7,992.52 : x
  2. Step 2: Convert to fraction form
    9,768.04/14,618.04 = 7,992.52/x
  3. Step 3: Cross multiply
    9,768.04x = 14,618.04 × 7,992.52
  4. Step 4: Simplify right side
    9,768.04x = 116,834,977.06
  5. Step 5: Solve for x
    x = 116,834,977.06/9,768.04
  6. Step 6: Final answer
    x = 11,960.94

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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.