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Finding the Fourth Proportional to 9,207.40, 13,809.16 and 2,967.96

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Solution

The fourth proportional to 9,207.40, 13,809.16 and 2,967.96 is: 4,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.40 : 13,809.16 = 2,967.96 : x
  2. Step 2: Convert to fraction form
    9,207.40/13,809.16 = 2,967.96/x
  3. Step 3: Cross multiply
    9,207.40x = 13,809.16 × 2,967.96
  4. Step 4: Simplify right side
    9,207.40x = 40,985,034.51
  5. Step 5: Solve for x
    x = 40,985,034.51/9,207.40
  6. Step 6: Final answer
    x = 4,451.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.