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Finding the Fourth Proportional to 9,999.86, 14,994.76 and 3,334

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Solution

The fourth proportional to 9,999.86, 14,994.76 and 3,334 is: 4,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.86 : 14,994.76 = 3,334 : x
  2. Step 2: Convert to fraction form
    9,999.86/14,994.76 = 3,334/x
  3. Step 3: Cross multiply
    9,999.86x = 14,994.76 × 3,334
  4. Step 4: Simplify right side
    9,999.86x = 49,992,529.84
  5. Step 5: Solve for x
    x = 49,992,529.84/9,999.86
  6. Step 6: Final answer
    x = 4,999.32

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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.