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Finding the Fourth Proportional to 9,934.69, 14,891.66 and 7,298.28

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Solution

The fourth proportional to 9,934.69, 14,891.66 and 7,298.28 is: 10,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.69 : 14,891.66 = 7,298.28 : x
  2. Step 2: Convert to fraction form
    9,934.69/14,891.66 = 7,298.28/x
  3. Step 3: Cross multiply
    9,934.69x = 14,891.66 × 7,298.28
  4. Step 4: Simplify right side
    9,934.69x = 108,683,393.40
  5. Step 5: Solve for x
    x = 108,683,393.40/9,934.69
  6. Step 6: Final answer
    x = 10,939.79

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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.