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Finding the Fourth Proportional to 9,696.81, 13,377.90 and 5,716.47

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Solution

The fourth proportional to 9,696.81, 13,377.90 and 5,716.47 is: 7,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.81 : 13,377.90 = 5,716.47 : x
  2. Step 2: Convert to fraction form
    9,696.81/13,377.90 = 5,716.47/x
  3. Step 3: Cross multiply
    9,696.81x = 13,377.90 × 5,716.47
  4. Step 4: Simplify right side
    9,696.81x = 76,474,364.01
  5. Step 5: Solve for x
    x = 76,474,364.01/9,696.81
  6. Step 6: Final answer
    x = 7,886.55

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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.