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Finding the Fourth Proportional to 9,417.63, 14,131.04 and 3,872.64

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Solution

The fourth proportional to 9,417.63, 14,131.04 and 3,872.64 is: 5,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.63 : 14,131.04 = 3,872.64 : x
  2. Step 2: Convert to fraction form
    9,417.63/14,131.04 = 3,872.64/x
  3. Step 3: Cross multiply
    9,417.63x = 14,131.04 × 3,872.64
  4. Step 4: Simplify right side
    9,417.63x = 54,724,430.75
  5. Step 5: Solve for x
    x = 54,724,430.75/9,417.63
  6. Step 6: Final answer
    x = 5,810.85

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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.