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Finding the Fourth Proportional to 9,858.24, 13,592.88 and 6,784.56

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Solution

The fourth proportional to 9,858.24, 13,592.88 and 6,784.56 is: 9,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.24 : 13,592.88 = 6,784.56 : x
  2. Step 2: Convert to fraction form
    9,858.24/13,592.88 = 6,784.56/x
  3. Step 3: Cross multiply
    9,858.24x = 13,592.88 × 6,784.56
  4. Step 4: Simplify right side
    9,858.24x = 92,221,709.93
  5. Step 5: Solve for x
    x = 92,221,709.93/9,858.24
  6. Step 6: Final answer
    x = 9,354.78

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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.