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Finding the Fourth Proportional to 9,891.01, 14,836.47 and 3,970.54

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Solution

The fourth proportional to 9,891.01, 14,836.47 and 3,970.54 is: 5,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.01 : 14,836.47 = 3,970.54 : x
  2. Step 2: Convert to fraction form
    9,891.01/14,836.47 = 3,970.54/x
  3. Step 3: Cross multiply
    9,891.01x = 14,836.47 × 3,970.54
  4. Step 4: Simplify right side
    9,891.01x = 58,908,797.59
  5. Step 5: Solve for x
    x = 58,908,797.59/9,891.01
  6. Step 6: Final answer
    x = 5,955.79

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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.