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Finding the Fourth Proportional to 9,246.98, 12,761.96 and 5,214.58

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Solution

The fourth proportional to 9,246.98, 12,761.96 and 5,214.58 is: 7,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.98 : 12,761.96 = 5,214.58 : x
  2. Step 2: Convert to fraction form
    9,246.98/12,761.96 = 5,214.58/x
  3. Step 3: Cross multiply
    9,246.98x = 12,761.96 × 5,214.58
  4. Step 4: Simplify right side
    9,246.98x = 66,548,203.40
  5. Step 5: Solve for x
    x = 66,548,203.40/9,246.98
  6. Step 6: Final answer
    x = 7,196.75

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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.