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Finding the Fourth Proportional to 9,411.16, 12,989.10 and 8,941.24

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Solution

The fourth proportional to 9,411.16, 12,989.10 and 8,941.24 is: 12,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.16 : 12,989.10 = 8,941.24 : x
  2. Step 2: Convert to fraction form
    9,411.16/12,989.10 = 8,941.24/x
  3. Step 3: Cross multiply
    9,411.16x = 12,989.10 × 8,941.24
  4. Step 4: Simplify right side
    9,411.16x = 116,138,660.48
  5. Step 5: Solve for x
    x = 116,138,660.48/9,411.16
  6. Step 6: Final answer
    x = 12,340.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.