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Finding the Fourth Proportional to 9,899.92, 14,851.44 and 4,054.96

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Solution

The fourth proportional to 9,899.92, 14,851.44 and 4,054.96 is: 6,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.92 : 14,851.44 = 4,054.96 : x
  2. Step 2: Convert to fraction form
    9,899.92/14,851.44 = 4,054.96/x
  3. Step 3: Cross multiply
    9,899.92x = 14,851.44 × 4,054.96
  4. Step 4: Simplify right side
    9,899.92x = 60,221,995.14
  5. Step 5: Solve for x
    x = 60,221,995.14/9,899.92
  6. Step 6: Final answer
    x = 6,083.08

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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.