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Finding the Fourth Proportional to 9,208.25, 12,707.40 and 5,016.50

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Solution

The fourth proportional to 9,208.25, 12,707.40 and 5,016.50 is: 6,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.25 : 12,707.40 = 5,016.50 : x
  2. Step 2: Convert to fraction form
    9,208.25/12,707.40 = 5,016.50/x
  3. Step 3: Cross multiply
    9,208.25x = 12,707.40 × 5,016.50
  4. Step 4: Simplify right side
    9,208.25x = 63,746,672.10
  5. Step 5: Solve for x
    x = 63,746,672.10/9,208.25
  6. Step 6: Final answer
    x = 6,922.78

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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.