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Finding the Fourth Proportional to 9,845.76, 13,592.01 and 6,823.17

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Solution

The fourth proportional to 9,845.76, 13,592.01 and 6,823.17 is: 9,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.76 : 13,592.01 = 6,823.17 : x
  2. Step 2: Convert to fraction form
    9,845.76/13,592.01 = 6,823.17/x
  3. Step 3: Cross multiply
    9,845.76x = 13,592.01 × 6,823.17
  4. Step 4: Simplify right side
    9,845.76x = 92,740,594.87
  5. Step 5: Solve for x
    x = 92,740,594.87/9,845.76
  6. Step 6: Final answer
    x = 9,419.34

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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.