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Finding the Fourth Proportional to 9,304.32, 12,835.68 and 5,716.02

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Solution

The fourth proportional to 9,304.32, 12,835.68 and 5,716.02 is: 7,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.32 : 12,835.68 = 5,716.02 : x
  2. Step 2: Convert to fraction form
    9,304.32/12,835.68 = 5,716.02/x
  3. Step 3: Cross multiply
    9,304.32x = 12,835.68 × 5,716.02
  4. Step 4: Simplify right side
    9,304.32x = 73,369,003.59
  5. Step 5: Solve for x
    x = 73,369,003.59/9,304.32
  6. Step 6: Final answer
    x = 7,885.48

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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.