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Finding the Fourth Proportional to 9,106.97, 12,528.10 and 7,424.68

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Solution

The fourth proportional to 9,106.97, 12,528.10 and 7,424.68 is: 10,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.97 : 12,528.10 = 7,424.68 : x
  2. Step 2: Convert to fraction form
    9,106.97/12,528.10 = 7,424.68/x
  3. Step 3: Cross multiply
    9,106.97x = 12,528.10 × 7,424.68
  4. Step 4: Simplify right side
    9,106.97x = 93,017,096.38
  5. Step 5: Solve for x
    x = 93,017,096.38/9,106.97
  6. Step 6: Final answer
    x = 10,213.84

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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.