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Finding the Fourth Proportional to 9,225.56, 13,842.41 and 4,841.96

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Solution

The fourth proportional to 9,225.56, 13,842.41 and 4,841.96 is: 7,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.56 : 13,842.41 = 4,841.96 : x
  2. Step 2: Convert to fraction form
    9,225.56/13,842.41 = 4,841.96/x
  3. Step 3: Cross multiply
    9,225.56x = 13,842.41 × 4,841.96
  4. Step 4: Simplify right side
    9,225.56x = 67,024,395.52
  5. Step 5: Solve for x
    x = 67,024,395.52/9,225.56
  6. Step 6: Final answer
    x = 7,265.08

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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.