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Finding the Fourth Proportional to 9,749.75, 14,594.29 and 5,296.28

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Solution

The fourth proportional to 9,749.75, 14,594.29 and 5,296.28 is: 7,927.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.75 : 14,594.29 = 5,296.28 : x
  2. Step 2: Convert to fraction form
    9,749.75/14,594.29 = 5,296.28/x
  3. Step 3: Cross multiply
    9,749.75x = 14,594.29 × 5,296.28
  4. Step 4: Simplify right side
    9,749.75x = 77,295,360.03
  5. Step 5: Solve for x
    x = 77,295,360.03/9,749.75
  6. Step 6: Final answer
    x = 7,927.94

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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.