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Finding the Fourth Proportional to 9,715.36, 13,405.02 and 5,734.34

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Solution

The fourth proportional to 9,715.36, 13,405.02 and 5,734.34 is: 7,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.36 : 13,405.02 = 5,734.34 : x
  2. Step 2: Convert to fraction form
    9,715.36/13,405.02 = 5,734.34/x
  3. Step 3: Cross multiply
    9,715.36x = 13,405.02 × 5,734.34
  4. Step 4: Simplify right side
    9,715.36x = 76,868,963.89
  5. Step 5: Solve for x
    x = 76,868,963.89/9,715.36
  6. Step 6: Final answer
    x = 7,912.10

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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.