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Finding the Fourth Proportional to 9,150.95, 12,618.82 and 7,829.03

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Solution

The fourth proportional to 9,150.95, 12,618.82 and 7,829.03 is: 10,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.95 : 12,618.82 = 7,829.03 : x
  2. Step 2: Convert to fraction form
    9,150.95/12,618.82 = 7,829.03/x
  3. Step 3: Cross multiply
    9,150.95x = 12,618.82 × 7,829.03
  4. Step 4: Simplify right side
    9,150.95x = 98,793,081.20
  5. Step 5: Solve for x
    x = 98,793,081.20/9,150.95
  6. Step 6: Final answer
    x = 10,795.94

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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.