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Finding the Fourth Proportional to 9,690.72, 14,548.98 and 5,749.26

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Solution

The fourth proportional to 9,690.72, 14,548.98 and 5,749.26 is: 8,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.72 : 14,548.98 = 5,749.26 : x
  2. Step 2: Convert to fraction form
    9,690.72/14,548.98 = 5,749.26/x
  3. Step 3: Cross multiply
    9,690.72x = 14,548.98 × 5,749.26
  4. Step 4: Simplify right side
    9,690.72x = 83,645,868.75
  5. Step 5: Solve for x
    x = 83,645,868.75/9,690.72
  6. Step 6: Final answer
    x = 8,631.54

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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.