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Finding the Fourth Proportional to 9,283.84, 12,811.46 and 5,304.96

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Solution

The fourth proportional to 9,283.84, 12,811.46 and 5,304.96 is: 7,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.84 : 12,811.46 = 5,304.96 : x
  2. Step 2: Convert to fraction form
    9,283.84/12,811.46 = 5,304.96/x
  3. Step 3: Cross multiply
    9,283.84x = 12,811.46 × 5,304.96
  4. Step 4: Simplify right side
    9,283.84x = 67,964,245.16
  5. Step 5: Solve for x
    x = 67,964,245.16/9,283.84
  6. Step 6: Final answer
    x = 7,320.70

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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.