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Finding the Fourth Proportional to 9,770.54, 14,655.74 and 3,927.06

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Solution

The fourth proportional to 9,770.54, 14,655.74 and 3,927.06 is: 5,890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.54 : 14,655.74 = 3,927.06 : x
  2. Step 2: Convert to fraction form
    9,770.54/14,655.74 = 3,927.06/x
  3. Step 3: Cross multiply
    9,770.54x = 14,655.74 × 3,927.06
  4. Step 4: Simplify right side
    9,770.54x = 57,553,950.69
  5. Step 5: Solve for x
    x = 57,553,950.69/9,770.54
  6. Step 6: Final answer
    x = 5,890.56

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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.