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Finding the Fourth Proportional to 9,727.41, 14,587.47 and 7,651.47

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Solution

The fourth proportional to 9,727.41, 14,587.47 and 7,651.47 is: 11,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.41 : 14,587.47 = 7,651.47 : x
  2. Step 2: Convert to fraction form
    9,727.41/14,587.47 = 7,651.47/x
  3. Step 3: Cross multiply
    9,727.41x = 14,587.47 × 7,651.47
  4. Step 4: Simplify right side
    9,727.41x = 111,615,589.08
  5. Step 5: Solve for x
    x = 111,615,589.08/9,727.41
  6. Step 6: Final answer
    x = 11,474.34

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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.