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Finding the Fourth Proportional to 9,456.69, 13,050.99 and 5,208.53

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Solution

The fourth proportional to 9,456.69, 13,050.99 and 5,208.53 is: 7,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.69 : 13,050.99 = 5,208.53 : x
  2. Step 2: Convert to fraction form
    9,456.69/13,050.99 = 5,208.53/x
  3. Step 3: Cross multiply
    9,456.69x = 13,050.99 × 5,208.53
  4. Step 4: Simplify right side
    9,456.69x = 67,976,407.69
  5. Step 5: Solve for x
    x = 67,976,407.69/9,456.69
  6. Step 6: Final answer
    x = 7,188.18

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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.