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Finding the Fourth Proportional to 9,525.74, 14,263.01 and 7,763.54

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Solution

The fourth proportional to 9,525.74, 14,263.01 and 7,763.54 is: 11,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.74 : 14,263.01 = 7,763.54 : x
  2. Step 2: Convert to fraction form
    9,525.74/14,263.01 = 7,763.54/x
  3. Step 3: Cross multiply
    9,525.74x = 14,263.01 × 7,763.54
  4. Step 4: Simplify right side
    9,525.74x = 110,731,338.52
  5. Step 5: Solve for x
    x = 110,731,338.52/9,525.74
  6. Step 6: Final answer
    x = 11,624.44

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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.