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Finding the Fourth Proportional to 9,549.98, 14,322.05 and 3,308.53

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Solution

The fourth proportional to 9,549.98, 14,322.05 and 3,308.53 is: 4,961.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.98 : 14,322.05 = 3,308.53 : x
  2. Step 2: Convert to fraction form
    9,549.98/14,322.05 = 3,308.53/x
  3. Step 3: Cross multiply
    9,549.98x = 14,322.05 × 3,308.53
  4. Step 4: Simplify right side
    9,549.98x = 47,384,953.61
  5. Step 5: Solve for x
    x = 47,384,953.61/9,549.98
  6. Step 6: Final answer
    x = 4,961.79

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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.