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Finding the Fourth Proportional to 9,666.45, 14,477.67 and 5,762.79

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Solution

The fourth proportional to 9,666.45, 14,477.67 and 5,762.79 is: 8,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.45 : 14,477.67 = 5,762.79 : x
  2. Step 2: Convert to fraction form
    9,666.45/14,477.67 = 5,762.79/x
  3. Step 3: Cross multiply
    9,666.45x = 14,477.67 × 5,762.79
  4. Step 4: Simplify right side
    9,666.45x = 83,431,771.90
  5. Step 5: Solve for x
    x = 83,431,771.90/9,666.45
  6. Step 6: Final answer
    x = 8,631.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.