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Finding the Fourth Proportional to 12,237, 16,888.14 and 6,934.20

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Solution

The fourth proportional to 12,237, 16,888.14 and 6,934.20 is: 9,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237 : 16,888.14 = 6,934.20 : x
  2. Step 2: Convert to fraction form
    12,237/16,888.14 = 6,934.20/x
  3. Step 3: Cross multiply
    12,237x = 16,888.14 × 6,934.20
  4. Step 4: Simplify right side
    12,237x = 117,105,740.39
  5. Step 5: Solve for x
    x = 117,105,740.39/12,237
  6. Step 6: Final answer
    x = 9,569.81

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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.