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Finding the Fourth Proportional to 9,605.92, 14,400.96 and 3,028

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Solution

The fourth proportional to 9,605.92, 14,400.96 and 3,028 is: 4,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.92 : 14,400.96 = 3,028 : x
  2. Step 2: Convert to fraction form
    9,605.92/14,400.96 = 3,028/x
  3. Step 3: Cross multiply
    9,605.92x = 14,400.96 × 3,028
  4. Step 4: Simplify right side
    9,605.92x = 43,606,106.88
  5. Step 5: Solve for x
    x = 43,606,106.88/9,605.92
  6. Step 6: Final answer
    x = 4,539.50

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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.