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Finding the Fourth Proportional to 9,847.84, 13,592.40 and 6,076.48

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Solution

The fourth proportional to 9,847.84, 13,592.40 and 6,076.48 is: 8,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.84 : 13,592.40 = 6,076.48 : x
  2. Step 2: Convert to fraction form
    9,847.84/13,592.40 = 6,076.48/x
  3. Step 3: Cross multiply
    9,847.84x = 13,592.40 × 6,076.48
  4. Step 4: Simplify right side
    9,847.84x = 82,593,946.75
  5. Step 5: Solve for x
    x = 82,593,946.75/9,847.84
  6. Step 6: Final answer
    x = 8,387.01

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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.