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Finding the Fourth Proportional to 9,289.64, 13,934.93 and 3,444.88

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Solution

The fourth proportional to 9,289.64, 13,934.93 and 3,444.88 is: 5,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.64 : 13,934.93 = 3,444.88 : x
  2. Step 2: Convert to fraction form
    9,289.64/13,934.93 = 3,444.88/x
  3. Step 3: Cross multiply
    9,289.64x = 13,934.93 × 3,444.88
  4. Step 4: Simplify right side
    9,289.64x = 48,004,109.60
  5. Step 5: Solve for x
    x = 48,004,109.60/9,289.64
  6. Step 6: Final answer
    x = 5,167.49

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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.