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Finding the Fourth Proportional to 9,272.88, 13,909.32 and 3,422.66

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Solution

The fourth proportional to 9,272.88, 13,909.32 and 3,422.66 is: 5,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.88 : 13,909.32 = 3,422.66 : x
  2. Step 2: Convert to fraction form
    9,272.88/13,909.32 = 3,422.66/x
  3. Step 3: Cross multiply
    9,272.88x = 13,909.32 × 3,422.66
  4. Step 4: Simplify right side
    9,272.88x = 47,606,803.64
  5. Step 5: Solve for x
    x = 47,606,803.64/9,272.88
  6. Step 6: Final answer
    x = 5,133.98

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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.