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Finding the Fourth Proportional to 9,992.49, 14,988.72 and 2,972.48

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Solution

The fourth proportional to 9,992.49, 14,988.72 and 2,972.48 is: 4,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.49 : 14,988.72 = 2,972.48 : x
  2. Step 2: Convert to fraction form
    9,992.49/14,988.72 = 2,972.48/x
  3. Step 3: Cross multiply
    9,992.49x = 14,988.72 × 2,972.48
  4. Step 4: Simplify right side
    9,992.49x = 44,553,670.43
  5. Step 5: Solve for x
    x = 44,553,670.43/9,992.49
  6. Step 6: Final answer
    x = 4,458.72

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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.