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Finding the Fourth Proportional to 9,983.64, 13,776.76 and 5,507.42

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Solution

The fourth proportional to 9,983.64, 13,776.76 and 5,507.42 is: 7,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.64 : 13,776.76 = 5,507.42 : x
  2. Step 2: Convert to fraction form
    9,983.64/13,776.76 = 5,507.42/x
  3. Step 3: Cross multiply
    9,983.64x = 13,776.76 × 5,507.42
  4. Step 4: Simplify right side
    9,983.64x = 75,874,403.56
  5. Step 5: Solve for x
    x = 75,874,403.56/9,983.64
  6. Step 6: Final answer
    x = 7,599.87

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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.