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Finding the Fourth Proportional to 9,955.56, 14,935.80 and 4,113.84

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Solution

The fourth proportional to 9,955.56, 14,935.80 and 4,113.84 is: 6,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.56 : 14,935.80 = 4,113.84 : x
  2. Step 2: Convert to fraction form
    9,955.56/14,935.80 = 4,113.84/x
  3. Step 3: Cross multiply
    9,955.56x = 14,935.80 × 4,113.84
  4. Step 4: Simplify right side
    9,955.56x = 61,443,491.47
  5. Step 5: Solve for x
    x = 61,443,491.47/9,955.56
  6. Step 6: Final answer
    x = 6,171.78

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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.