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Finding the Fourth Proportional to 9,992.41, 14,998.34 and 4,801.93

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Solution

The fourth proportional to 9,992.41, 14,998.34 and 4,801.93 is: 7,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.41 : 14,998.34 = 4,801.93 : x
  2. Step 2: Convert to fraction form
    9,992.41/14,998.34 = 4,801.93/x
  3. Step 3: Cross multiply
    9,992.41x = 14,998.34 × 4,801.93
  4. Step 4: Simplify right side
    9,992.41x = 72,020,954.79
  5. Step 5: Solve for x
    x = 72,020,954.79/9,992.41
  6. Step 6: Final answer
    x = 7,207.57

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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.