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Finding the Fourth Proportional to 9,132.36, 13,696.11 and 4,199.46

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Solution

The fourth proportional to 9,132.36, 13,696.11 and 4,199.46 is: 6,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.36 : 13,696.11 = 4,199.46 : x
  2. Step 2: Convert to fraction form
    9,132.36/13,696.11 = 4,199.46/x
  3. Step 3: Cross multiply
    9,132.36x = 13,696.11 × 4,199.46
  4. Step 4: Simplify right side
    9,132.36x = 57,516,266.10
  5. Step 5: Solve for x
    x = 57,516,266.10/9,132.36
  6. Step 6: Final answer
    x = 6,298.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.