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Finding the Fourth Proportional to 9,272.40, 13,909.50 and 2,698.44

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Solution

The fourth proportional to 9,272.40, 13,909.50 and 2,698.44 is: 4,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.40 : 13,909.50 = 2,698.44 : x
  2. Step 2: Convert to fraction form
    9,272.40/13,909.50 = 2,698.44/x
  3. Step 3: Cross multiply
    9,272.40x = 13,909.50 × 2,698.44
  4. Step 4: Simplify right side
    9,272.40x = 37,533,951.18
  5. Step 5: Solve for x
    x = 37,533,951.18/9,272.40
  6. Step 6: Final answer
    x = 4,047.92

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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.