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Finding the Fourth Proportional to 9,696.76, 13,387.98 and 6,551.80

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Solution

The fourth proportional to 9,696.76, 13,387.98 and 6,551.80 is: 9,045.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.76 : 13,387.98 = 6,551.80 : x
  2. Step 2: Convert to fraction form
    9,696.76/13,387.98 = 6,551.80/x
  3. Step 3: Cross multiply
    9,696.76x = 13,387.98 × 6,551.80
  4. Step 4: Simplify right side
    9,696.76x = 87,715,367.36
  5. Step 5: Solve for x
    x = 87,715,367.36/9,696.76
  6. Step 6: Final answer
    x = 9,045.84

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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.