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Finding the Fourth Proportional to 9,322.32, 13,983.53 and 3,478.88

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Solution

The fourth proportional to 9,322.32, 13,983.53 and 3,478.88 is: 5,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.32 : 13,983.53 = 3,478.88 : x
  2. Step 2: Convert to fraction form
    9,322.32/13,983.53 = 3,478.88/x
  3. Step 3: Cross multiply
    9,322.32x = 13,983.53 × 3,478.88
  4. Step 4: Simplify right side
    9,322.32x = 48,646,935.53
  5. Step 5: Solve for x
    x = 48,646,935.53/9,322.32
  6. Step 6: Final answer
    x = 5,218.33

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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.