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Finding the Fourth Proportional to 9,924.81, 14,862.60 and 8,288.61

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Solution

The fourth proportional to 9,924.81, 14,862.60 and 8,288.61 is: 12,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.81 : 14,862.60 = 8,288.61 : x
  2. Step 2: Convert to fraction form
    9,924.81/14,862.60 = 8,288.61/x
  3. Step 3: Cross multiply
    9,924.81x = 14,862.60 × 8,288.61
  4. Step 4: Simplify right side
    9,924.81x = 123,190,294.99
  5. Step 5: Solve for x
    x = 123,190,294.99/9,924.81
  6. Step 6: Final answer
    x = 12,412.36

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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.