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Finding the Fourth Proportional to 9,624.46, 13,274.40 and 6,645.28

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Solution

The fourth proportional to 9,624.46, 13,274.40 and 6,645.28 is: 9,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.46 : 13,274.40 = 6,645.28 : x
  2. Step 2: Convert to fraction form
    9,624.46/13,274.40 = 6,645.28/x
  3. Step 3: Cross multiply
    9,624.46x = 13,274.40 × 6,645.28
  4. Step 4: Simplify right side
    9,624.46x = 88,212,104.83
  5. Step 5: Solve for x
    x = 88,212,104.83/9,624.46
  6. Step 6: Final answer
    x = 9,165.41

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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.