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Finding the Fourth Proportional to 9,696.39, 13,377.54 and 6,341.16

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Solution

The fourth proportional to 9,696.39, 13,377.54 and 6,341.16 is: 8,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.39 : 13,377.54 = 6,341.16 : x
  2. Step 2: Convert to fraction form
    9,696.39/13,377.54 = 6,341.16/x
  3. Step 3: Cross multiply
    9,696.39x = 13,377.54 × 6,341.16
  4. Step 4: Simplify right side
    9,696.39x = 84,829,121.55
  5. Step 5: Solve for x
    x = 84,829,121.55/9,696.39
  6. Step 6: Final answer
    x = 8,748.53

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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.