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Finding the Fourth Proportional to 9,696.76, 13,389.42 and 7,904.52

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Solution

The fourth proportional to 9,696.76, 13,389.42 and 7,904.52 is: 10,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.76 : 13,389.42 = 7,904.52 : x
  2. Step 2: Convert to fraction form
    9,696.76/13,389.42 = 7,904.52/x
  3. Step 3: Cross multiply
    9,696.76x = 13,389.42 × 7,904.52
  4. Step 4: Simplify right side
    9,696.76x = 105,836,938.18
  5. Step 5: Solve for x
    x = 105,836,938.18/9,696.76
  6. Step 6: Final answer
    x = 10,914.67

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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.