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Finding the Fourth Proportional to 9,277.29, 12,802.19 and 5,084.73

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Solution

The fourth proportional to 9,277.29, 12,802.19 and 5,084.73 is: 7,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.29 : 12,802.19 = 5,084.73 : x
  2. Step 2: Convert to fraction form
    9,277.29/12,802.19 = 5,084.73/x
  3. Step 3: Cross multiply
    9,277.29x = 12,802.19 × 5,084.73
  4. Step 4: Simplify right side
    9,277.29x = 65,095,654.14
  5. Step 5: Solve for x
    x = 65,095,654.14/9,277.29
  6. Step 6: Final answer
    x = 7,016.67

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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.