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Finding the Fourth Proportional to 9,745.03, 14,620.65 and 7,416.28

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Solution

The fourth proportional to 9,745.03, 14,620.65 and 7,416.28 is: 11,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.03 : 14,620.65 = 7,416.28 : x
  2. Step 2: Convert to fraction form
    9,745.03/14,620.65 = 7,416.28/x
  3. Step 3: Cross multiply
    9,745.03x = 14,620.65 × 7,416.28
  4. Step 4: Simplify right side
    9,745.03x = 108,430,834.18
  5. Step 5: Solve for x
    x = 108,430,834.18/9,745.03
  6. Step 6: Final answer
    x = 11,126.78

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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.