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Finding the Fourth Proportional to 9,053.82, 12,494.75 and 5,225.96

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Solution

The fourth proportional to 9,053.82, 12,494.75 and 5,225.96 is: 7,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.82 : 12,494.75 = 5,225.96 : x
  2. Step 2: Convert to fraction form
    9,053.82/12,494.75 = 5,225.96/x
  3. Step 3: Cross multiply
    9,053.82x = 12,494.75 × 5,225.96
  4. Step 4: Simplify right side
    9,053.82x = 65,297,068.82
  5. Step 5: Solve for x
    x = 65,297,068.82/9,053.82
  6. Step 6: Final answer
    x = 7,212.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.