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Finding the Fourth Proportional to 9,407.06, 12,971.67 and 5,869.34

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Solution

The fourth proportional to 9,407.06, 12,971.67 and 5,869.34 is: 8,093.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.06 : 12,971.67 = 5,869.34 : x
  2. Step 2: Convert to fraction form
    9,407.06/12,971.67 = 5,869.34/x
  3. Step 3: Cross multiply
    9,407.06x = 12,971.67 × 5,869.34
  4. Step 4: Simplify right side
    9,407.06x = 76,135,141.60
  5. Step 5: Solve for x
    x = 76,135,141.60/9,407.06
  6. Step 6: Final answer
    x = 8,093.40

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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.