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Finding the Fourth Proportional to 9,387.63, 12,957.81 and 5,411.40

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Solution

The fourth proportional to 9,387.63, 12,957.81 and 5,411.40 is: 7,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.63 : 12,957.81 = 5,411.40 : x
  2. Step 2: Convert to fraction form
    9,387.63/12,957.81 = 5,411.40/x
  3. Step 3: Cross multiply
    9,387.63x = 12,957.81 × 5,411.40
  4. Step 4: Simplify right side
    9,387.63x = 70,119,893.03
  5. Step 5: Solve for x
    x = 70,119,893.03/9,387.63
  6. Step 6: Final answer
    x = 7,469.39

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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.