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Finding the Fourth Proportional to 9,696.79, 13,367.46 and 7,708.15

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Solution

The fourth proportional to 9,696.79, 13,367.46 and 7,708.15 is: 10,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.79 : 13,367.46 = 7,708.15 : x
  2. Step 2: Convert to fraction form
    9,696.79/13,367.46 = 7,708.15/x
  3. Step 3: Cross multiply
    9,696.79x = 13,367.46 × 7,708.15
  4. Step 4: Simplify right side
    9,696.79x = 103,038,386.80
  5. Step 5: Solve for x
    x = 103,038,386.80/9,696.79
  6. Step 6: Final answer
    x = 10,626.03

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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.