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Finding the Fourth Proportional to 9,537.66, 14,290.88 and 9,173.16

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Solution

The fourth proportional to 9,537.66, 14,290.88 and 9,173.16 is: 13,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.66 : 14,290.88 = 9,173.16 : x
  2. Step 2: Convert to fraction form
    9,537.66/14,290.88 = 9,173.16/x
  3. Step 3: Cross multiply
    9,537.66x = 14,290.88 × 9,173.16
  4. Step 4: Simplify right side
    9,537.66x = 131,092,528.78
  5. Step 5: Solve for x
    x = 131,092,528.78/9,537.66
  6. Step 6: Final answer
    x = 13,744.73

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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.