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Finding the Fourth Proportional to 9,208.52, 12,707.76 and 5,016.77

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Solution

The fourth proportional to 9,208.52, 12,707.76 and 5,016.77 is: 6,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.52 : 12,707.76 = 5,016.77 : x
  2. Step 2: Convert to fraction form
    9,208.52/12,707.76 = 5,016.77/x
  3. Step 3: Cross multiply
    9,208.52x = 12,707.76 × 5,016.77
  4. Step 4: Simplify right side
    9,208.52x = 63,751,909.14
  5. Step 5: Solve for x
    x = 63,751,909.14/9,208.52
  6. Step 6: Final answer
    x = 6,923.14

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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.