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Finding the Fourth Proportional to 9,835.40, 14,755.22 and 4,566.54

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Solution

The fourth proportional to 9,835.40, 14,755.22 and 4,566.54 is: 6,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.40 : 14,755.22 = 4,566.54 : x
  2. Step 2: Convert to fraction form
    9,835.40/14,755.22 = 4,566.54/x
  3. Step 3: Cross multiply
    9,835.40x = 14,755.22 × 4,566.54
  4. Step 4: Simplify right side
    9,835.40x = 67,380,279.51
  5. Step 5: Solve for x
    x = 67,380,279.51/9,835.40
  6. Step 6: Final answer
    x = 6,850.80

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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.