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Finding the Fourth Proportional to 9,992.71, 14,984.40 and 2,970.14

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Solution

The fourth proportional to 9,992.71, 14,984.40 and 2,970.14 is: 4,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.71 : 14,984.40 = 2,970.14 : x
  2. Step 2: Convert to fraction form
    9,992.71/14,984.40 = 2,970.14/x
  3. Step 3: Cross multiply
    9,992.71x = 14,984.40 × 2,970.14
  4. Step 4: Simplify right side
    9,992.71x = 44,505,765.82
  5. Step 5: Solve for x
    x = 44,505,765.82/9,992.71
  6. Step 6: Final answer
    x = 4,453.82

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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.