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Finding the Fourth Proportional to 9,776.73, 14,666.23 and 3,539.67

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Solution

The fourth proportional to 9,776.73, 14,666.23 and 3,539.67 is: 5,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.73 : 14,666.23 = 3,539.67 : x
  2. Step 2: Convert to fraction form
    9,776.73/14,666.23 = 3,539.67/x
  3. Step 3: Cross multiply
    9,776.73x = 14,666.23 × 3,539.67
  4. Step 4: Simplify right side
    9,776.73x = 51,913,672.58
  5. Step 5: Solve for x
    x = 51,913,672.58/9,776.73
  6. Step 6: Final answer
    x = 5,309.92

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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.