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Finding the Fourth Proportional to 9,992.54, 14,988.85 and 2,596.47

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Solution

The fourth proportional to 9,992.54, 14,988.85 and 2,596.47 is: 3,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.54 : 14,988.85 = 2,596.47 : x
  2. Step 2: Convert to fraction form
    9,992.54/14,988.85 = 2,596.47/x
  3. Step 3: Cross multiply
    9,992.54x = 14,988.85 × 2,596.47
  4. Step 4: Simplify right side
    9,992.54x = 38,918,092.87
  5. Step 5: Solve for x
    x = 38,918,092.87/9,992.54
  6. Step 6: Final answer
    x = 3,894.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.