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Finding the Fourth Proportional to 9,994.64, 13,792.56 and 5,803.68

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Solution

The fourth proportional to 9,994.64, 13,792.56 and 5,803.68 is: 8,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.64 : 13,792.56 = 5,803.68 : x
  2. Step 2: Convert to fraction form
    9,994.64/13,792.56 = 5,803.68/x
  3. Step 3: Cross multiply
    9,994.64x = 13,792.56 × 5,803.68
  4. Step 4: Simplify right side
    9,994.64x = 80,047,604.62
  5. Step 5: Solve for x
    x = 80,047,604.62/9,994.64
  6. Step 6: Final answer
    x = 8,009.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.