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Finding the Fourth Proportional to 9,263.04, 12,782.92 and 5,071.28

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Solution

The fourth proportional to 9,263.04, 12,782.92 and 5,071.28 is: 6,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.04 : 12,782.92 = 5,071.28 : x
  2. Step 2: Convert to fraction form
    9,263.04/12,782.92 = 5,071.28/x
  3. Step 3: Cross multiply
    9,263.04x = 12,782.92 × 5,071.28
  4. Step 4: Simplify right side
    9,263.04x = 64,825,766.54
  5. Step 5: Solve for x
    x = 64,825,766.54/9,263.04
  6. Step 6: Final answer
    x = 6,998.33

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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.