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Finding the Fourth Proportional to 9,696.52, 13,377.70 and 5,502.34

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Solution

The fourth proportional to 9,696.52, 13,377.70 and 5,502.34 is: 7,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.52 : 13,377.70 = 5,502.34 : x
  2. Step 2: Convert to fraction form
    9,696.52/13,377.70 = 5,502.34/x
  3. Step 3: Cross multiply
    9,696.52x = 13,377.70 × 5,502.34
  4. Step 4: Simplify right side
    9,696.52x = 73,608,653.82
  5. Step 5: Solve for x
    x = 73,608,653.82/9,696.52
  6. Step 6: Final answer
    x = 7,591.24

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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.