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Finding the Fourth Proportional to 9,782.39, 14,666.29 and 5,885.89

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Solution

The fourth proportional to 9,782.39, 14,666.29 and 5,885.89 is: 8,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.39 : 14,666.29 = 5,885.89 : x
  2. Step 2: Convert to fraction form
    9,782.39/14,666.29 = 5,885.89/x
  3. Step 3: Cross multiply
    9,782.39x = 14,666.29 × 5,885.89
  4. Step 4: Simplify right side
    9,782.39x = 86,324,169.65
  5. Step 5: Solve for x
    x = 86,324,169.65/9,782.39
  6. Step 6: Final answer
    x = 8,824.45

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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.