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Finding the Fourth Proportional to 9,957.46, 14,934.90 and 4,113.28

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Solution

The fourth proportional to 9,957.46, 14,934.90 and 4,113.28 is: 6,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.46 : 14,934.90 = 4,113.28 : x
  2. Step 2: Convert to fraction form
    9,957.46/14,934.90 = 4,113.28/x
  3. Step 3: Cross multiply
    9,957.46x = 14,934.90 × 4,113.28
  4. Step 4: Simplify right side
    9,957.46x = 61,431,425.47
  5. Step 5: Solve for x
    x = 61,431,425.47/9,957.46
  6. Step 6: Final answer
    x = 6,169.39

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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.