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Finding the Fourth Proportional to 9,928.32, 13,702.24 and 5,736.48

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Solution

The fourth proportional to 9,928.32, 13,702.24 and 5,736.48 is: 7,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.32 : 13,702.24 = 5,736.48 : x
  2. Step 2: Convert to fraction form
    9,928.32/13,702.24 = 5,736.48/x
  3. Step 3: Cross multiply
    9,928.32x = 13,702.24 × 5,736.48
  4. Step 4: Simplify right side
    9,928.32x = 78,602,625.72
  5. Step 5: Solve for x
    x = 78,602,625.72/9,928.32
  6. Step 6: Final answer
    x = 7,917.01

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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.