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Finding the Fourth Proportional to 9,766.44, 14,646.45 and 4,216.32

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Solution

The fourth proportional to 9,766.44, 14,646.45 and 4,216.32 is: 6,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.44 : 14,646.45 = 4,216.32 : x
  2. Step 2: Convert to fraction form
    9,766.44/14,646.45 = 4,216.32/x
  3. Step 3: Cross multiply
    9,766.44x = 14,646.45 × 4,216.32
  4. Step 4: Simplify right side
    9,766.44x = 61,754,120.06
  5. Step 5: Solve for x
    x = 61,754,120.06/9,766.44
  6. Step 6: Final answer
    x = 6,323.09

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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.