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Finding the Fourth Proportional to 9,551.43, 14,327.15 and 2,977.65

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Solution

The fourth proportional to 9,551.43, 14,327.15 and 2,977.65 is: 4,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.43 : 14,327.15 = 2,977.65 : x
  2. Step 2: Convert to fraction form
    9,551.43/14,327.15 = 2,977.65/x
  3. Step 3: Cross multiply
    9,551.43x = 14,327.15 × 2,977.65
  4. Step 4: Simplify right side
    9,551.43x = 42,661,223.31
  5. Step 5: Solve for x
    x = 42,661,223.31/9,551.43
  6. Step 6: Final answer
    x = 4,466.48

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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.