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Finding the Fourth Proportional to 9,538.90, 14,292.69 and 9,174.40

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Solution

The fourth proportional to 9,538.90, 14,292.69 and 9,174.40 is: 13,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.90 : 14,292.69 = 9,174.40 : x
  2. Step 2: Convert to fraction form
    9,538.90/14,292.69 = 9,174.40/x
  3. Step 3: Cross multiply
    9,538.90x = 14,292.69 × 9,174.40
  4. Step 4: Simplify right side
    9,538.90x = 131,126,855.14
  5. Step 5: Solve for x
    x = 131,126,855.14/9,538.90
  6. Step 6: Final answer
    x = 13,746.54

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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.