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Finding the Fourth Proportional to 9,411.72, 12,985.92 and 5,873.64

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Solution

The fourth proportional to 9,411.72, 12,985.92 and 5,873.64 is: 8,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.72 : 12,985.92 = 5,873.64 : x
  2. Step 2: Convert to fraction form
    9,411.72/12,985.92 = 5,873.64/x
  3. Step 3: Cross multiply
    9,411.72x = 12,985.92 × 5,873.64
  4. Step 4: Simplify right side
    9,411.72x = 76,274,619.15
  5. Step 5: Solve for x
    x = 76,274,619.15/9,411.72
  6. Step 6: Final answer
    x = 8,104.22

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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.