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Finding the Fourth Proportional to 9,046.96, 12,495.06 and 7,642.52

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Solution

The fourth proportional to 9,046.96, 12,495.06 and 7,642.52 is: 10,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.96 : 12,495.06 = 7,642.52 : x
  2. Step 2: Convert to fraction form
    9,046.96/12,495.06 = 7,642.52/x
  3. Step 3: Cross multiply
    9,046.96x = 12,495.06 × 7,642.52
  4. Step 4: Simplify right side
    9,046.96x = 95,493,745.95
  5. Step 5: Solve for x
    x = 95,493,745.95/9,046.96
  6. Step 6: Final answer
    x = 10,555.34

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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.