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Finding the Fourth Proportional to 9,284.85, 13,931.37 and 3,749.00

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Solution

The fourth proportional to 9,284.85, 13,931.37 and 3,749.00 is: 5,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.85 : 13,931.37 = 3,749.00 : x
  2. Step 2: Convert to fraction form
    9,284.85/13,931.37 = 3,749.00/x
  3. Step 3: Cross multiply
    9,284.85x = 13,931.37 × 3,749.00
  4. Step 4: Simplify right side
    9,284.85x = 52,228,636.47
  5. Step 5: Solve for x
    x = 52,228,636.47/9,284.85
  6. Step 6: Final answer
    x = 5,625.15

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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.