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Finding the Fourth Proportional to 9,618.82, 14,430.78 and 3,045.12

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Solution

The fourth proportional to 9,618.82, 14,430.78 and 3,045.12 is: 4,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.82 : 14,430.78 = 3,045.12 : x
  2. Step 2: Convert to fraction form
    9,618.82/14,430.78 = 3,045.12/x
  3. Step 3: Cross multiply
    9,618.82x = 14,430.78 × 3,045.12
  4. Step 4: Simplify right side
    9,618.82x = 43,943,456.79
  5. Step 5: Solve for x
    x = 43,943,456.79/9,618.82
  6. Step 6: Final answer
    x = 4,568.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.