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Finding the Fourth Proportional to 9,864.94, 14,782.10 and 4,861.58

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Solution

The fourth proportional to 9,864.94, 14,782.10 and 4,861.58 is: 7,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.94 : 14,782.10 = 4,861.58 : x
  2. Step 2: Convert to fraction form
    9,864.94/14,782.10 = 4,861.58/x
  3. Step 3: Cross multiply
    9,864.94x = 14,782.10 × 4,861.58
  4. Step 4: Simplify right side
    9,864.94x = 71,864,361.72
  5. Step 5: Solve for x
    x = 71,864,361.72/9,864.94
  6. Step 6: Final answer
    x = 7,284.83

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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.