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Finding the Fourth Proportional to 9,492.82, 13,106.25 and 8,496.37

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Solution

The fourth proportional to 9,492.82, 13,106.25 and 8,496.37 is: 11,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.82 : 13,106.25 = 8,496.37 : x
  2. Step 2: Convert to fraction form
    9,492.82/13,106.25 = 8,496.37/x
  3. Step 3: Cross multiply
    9,492.82x = 13,106.25 × 8,496.37
  4. Step 4: Simplify right side
    9,492.82x = 111,355,549.31
  5. Step 5: Solve for x
    x = 111,355,549.31/9,492.82
  6. Step 6: Final answer
    x = 11,730.50

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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.