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Finding the Fourth Proportional to 9,521.46, 14,256.54 and 7,759.26

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Solution

The fourth proportional to 9,521.46, 14,256.54 and 7,759.26 is: 11,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.46 : 14,256.54 = 7,759.26 : x
  2. Step 2: Convert to fraction form
    9,521.46/14,256.54 = 7,759.26/x
  3. Step 3: Cross multiply
    9,521.46x = 14,256.54 × 7,759.26
  4. Step 4: Simplify right side
    9,521.46x = 110,620,200.56
  5. Step 5: Solve for x
    x = 110,620,200.56/9,521.46
  6. Step 6: Final answer
    x = 11,617.99

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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.