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Finding the Fourth Proportional to 9,330.34, 12,870.22 and 5,971.97

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Solution

The fourth proportional to 9,330.34, 12,870.22 and 5,971.97 is: 8,237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.34 : 12,870.22 = 5,971.97 : x
  2. Step 2: Convert to fraction form
    9,330.34/12,870.22 = 5,971.97/x
  3. Step 3: Cross multiply
    9,330.34x = 12,870.22 × 5,971.97
  4. Step 4: Simplify right side
    9,330.34x = 76,860,567.73
  5. Step 5: Solve for x
    x = 76,860,567.73/9,330.34
  6. Step 6: Final answer
    x = 8,237.70

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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.