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Finding the Fourth Proportional to 9,764.18, 14,626.74 and 5,866.46

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Solution

The fourth proportional to 9,764.18, 14,626.74 and 5,866.46 is: 8,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.18 : 14,626.74 = 5,866.46 : x
  2. Step 2: Convert to fraction form
    9,764.18/14,626.74 = 5,866.46/x
  3. Step 3: Cross multiply
    9,764.18x = 14,626.74 × 5,866.46
  4. Step 4: Simplify right side
    9,764.18x = 85,807,185.14
  5. Step 5: Solve for x
    x = 85,807,185.14/9,764.18
  6. Step 6: Final answer
    x = 8,787.96

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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.