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Finding the Fourth Proportional to 9,451.77, 14,147.34 and 6,281.94

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Solution

The fourth proportional to 9,451.77, 14,147.34 and 6,281.94 is: 9,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.77 : 14,147.34 = 6,281.94 : x
  2. Step 2: Convert to fraction form
    9,451.77/14,147.34 = 6,281.94/x
  3. Step 3: Cross multiply
    9,451.77x = 14,147.34 × 6,281.94
  4. Step 4: Simplify right side
    9,451.77x = 88,872,741.04
  5. Step 5: Solve for x
    x = 88,872,741.04/9,451.77
  6. Step 6: Final answer
    x = 9,402.76

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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.