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Finding the Fourth Proportional to 9,319.96, 12,857.24 and 8,258.80

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Solution

The fourth proportional to 9,319.96, 12,857.24 and 8,258.80 is: 11,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.96 : 12,857.24 = 8,258.80 : x
  2. Step 2: Convert to fraction form
    9,319.96/12,857.24 = 8,258.80/x
  3. Step 3: Cross multiply
    9,319.96x = 12,857.24 × 8,258.80
  4. Step 4: Simplify right side
    9,319.96x = 106,185,373.71
  5. Step 5: Solve for x
    x = 106,185,373.71/9,319.96
  6. Step 6: Final answer
    x = 11,393.33

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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.