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Finding the Fourth Proportional to 9,974.40, 14,957.03 and 3,397.91

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Solution

The fourth proportional to 9,974.40, 14,957.03 and 3,397.91 is: 5,095.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.40 : 14,957.03 = 3,397.91 : x
  2. Step 2: Convert to fraction form
    9,974.40/14,957.03 = 3,397.91/x
  3. Step 3: Cross multiply
    9,974.40x = 14,957.03 × 3,397.91
  4. Step 4: Simplify right side
    9,974.40x = 50,822,550.03
  5. Step 5: Solve for x
    x = 50,822,550.03/9,974.40
  6. Step 6: Final answer
    x = 5,095.30

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Why These Related Problems?

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