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Finding the Fourth Proportional to 9,994.06, 15,001.20 and 5,842

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Solution

The fourth proportional to 9,994.06, 15,001.20 and 5,842 is: 8,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.06 : 15,001.20 = 5,842 : x
  2. Step 2: Convert to fraction form
    9,994.06/15,001.20 = 5,842/x
  3. Step 3: Cross multiply
    9,994.06x = 15,001.20 × 5,842
  4. Step 4: Simplify right side
    9,994.06x = 87,637,010.40
  5. Step 5: Solve for x
    x = 87,637,010.40/9,994.06
  6. Step 6: Final answer
    x = 8,768.91

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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.