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Finding the Fourth Proportional to 9,782.64, 14,666.67 and 5,886.14

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Solution

The fourth proportional to 9,782.64, 14,666.67 and 5,886.14 is: 8,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.64 : 14,666.67 = 5,886.14 : x
  2. Step 2: Convert to fraction form
    9,782.64/14,666.67 = 5,886.14/x
  3. Step 3: Cross multiply
    9,782.64x = 14,666.67 × 5,886.14
  4. Step 4: Simplify right side
    9,782.64x = 86,329,999.62
  5. Step 5: Solve for x
    x = 86,329,999.62/9,782.64
  6. Step 6: Final answer
    x = 8,824.82

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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.