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Finding the Fourth Proportional to 9,207.34, 13,810.66 and 2,967.68

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Solution

The fourth proportional to 9,207.34, 13,810.66 and 2,967.68 is: 4,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.34 : 13,810.66 = 2,967.68 : x
  2. Step 2: Convert to fraction form
    9,207.34/13,810.66 = 2,967.68/x
  3. Step 3: Cross multiply
    9,207.34x = 13,810.66 × 2,967.68
  4. Step 4: Simplify right side
    9,207.34x = 40,985,619.47
  5. Step 5: Solve for x
    x = 40,985,619.47/9,207.34
  6. Step 6: Final answer
    x = 4,451.41

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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.