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Finding the Fourth Proportional to 9,894.81, 14,836.97 and 3,653.66

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Solution

The fourth proportional to 9,894.81, 14,836.97 and 3,653.66 is: 5,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.81 : 14,836.97 = 3,653.66 : x
  2. Step 2: Convert to fraction form
    9,894.81/14,836.97 = 3,653.66/x
  3. Step 3: Cross multiply
    9,894.81x = 14,836.97 × 3,653.66
  4. Step 4: Simplify right side
    9,894.81x = 54,209,206.58
  5. Step 5: Solve for x
    x = 54,209,206.58/9,894.81
  6. Step 6: Final answer
    x = 5,478.55

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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.