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Finding the Fourth Proportional to 9,262.58, 12,782.68 and 5,283.05

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Solution

The fourth proportional to 9,262.58, 12,782.68 and 5,283.05 is: 7,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.58 : 12,782.68 = 5,283.05 : x
  2. Step 2: Convert to fraction form
    9,262.58/12,782.68 = 5,283.05/x
  3. Step 3: Cross multiply
    9,262.58x = 12,782.68 × 5,283.05
  4. Step 4: Simplify right side
    9,262.58x = 67,531,460.45
  5. Step 5: Solve for x
    x = 67,531,460.45/9,262.58
  6. Step 6: Final answer
    x = 7,290.79

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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.