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Finding the Fourth Proportional to 9,788.64, 13,496.40 and 8,525.04

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Solution

The fourth proportional to 9,788.64, 13,496.40 and 8,525.04 is: 11,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.64 : 13,496.40 = 8,525.04 : x
  2. Step 2: Convert to fraction form
    9,788.64/13,496.40 = 8,525.04/x
  3. Step 3: Cross multiply
    9,788.64x = 13,496.40 × 8,525.04
  4. Step 4: Simplify right side
    9,788.64x = 115,057,349.86
  5. Step 5: Solve for x
    x = 115,057,349.86/9,788.64
  6. Step 6: Final answer
    x = 11,754.17

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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.