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Finding the Fourth Proportional to 9,672.32, 14,525.76 and 7,920.68

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Solution

The fourth proportional to 9,672.32, 14,525.76 and 7,920.68 is: 11,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.32 : 14,525.76 = 7,920.68 : x
  2. Step 2: Convert to fraction form
    9,672.32/14,525.76 = 7,920.68/x
  3. Step 3: Cross multiply
    9,672.32x = 14,525.76 × 7,920.68
  4. Step 4: Simplify right side
    9,672.32x = 115,053,896.72
  5. Step 5: Solve for x
    x = 115,053,896.72/9,672.32
  6. Step 6: Final answer
    x = 11,895.17

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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.