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Finding the Fourth Proportional to 9,145.36, 13,709.40 and 8,307.28

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Solution

The fourth proportional to 9,145.36, 13,709.40 and 8,307.28 is: 12,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.36 : 13,709.40 = 8,307.28 : x
  2. Step 2: Convert to fraction form
    9,145.36/13,709.40 = 8,307.28/x
  3. Step 3: Cross multiply
    9,145.36x = 13,709.40 × 8,307.28
  4. Step 4: Simplify right side
    9,145.36x = 113,887,824.43
  5. Step 5: Solve for x
    x = 113,887,824.43/9,145.36
  6. Step 6: Final answer
    x = 12,453.07

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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.