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Finding the Fourth Proportional to 9,610.84, 14,419.50 and 9,546.04

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Solution

The fourth proportional to 9,610.84, 14,419.50 and 9,546.04 is: 14,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.84 : 14,419.50 = 9,546.04 : x
  2. Step 2: Convert to fraction form
    9,610.84/14,419.50 = 9,546.04/x
  3. Step 3: Cross multiply
    9,610.84x = 14,419.50 × 9,546.04
  4. Step 4: Simplify right side
    9,610.84x = 137,649,123.78
  5. Step 5: Solve for x
    x = 137,649,123.78/9,610.84
  6. Step 6: Final answer
    x = 14,322.28

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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.