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Finding the Fourth Proportional to 9,994.91, 14,970.77 and 5,052.83

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Solution

The fourth proportional to 9,994.91, 14,970.77 and 5,052.83 is: 7,568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.91 : 14,970.77 = 5,052.83 : x
  2. Step 2: Convert to fraction form
    9,994.91/14,970.77 = 5,052.83/x
  3. Step 3: Cross multiply
    9,994.91x = 14,970.77 × 5,052.83
  4. Step 4: Simplify right side
    9,994.91x = 75,644,730.51
  5. Step 5: Solve for x
    x = 75,644,730.51/9,994.91
  6. Step 6: Final answer
    x = 7,568.33

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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.