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Finding the Fourth Proportional to 9,669.70, 13,343.00 and 5,419.78

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Solution

The fourth proportional to 9,669.70, 13,343.00 and 5,419.78 is: 7,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.70 : 13,343.00 = 5,419.78 : x
  2. Step 2: Convert to fraction form
    9,669.70/13,343.00 = 5,419.78/x
  3. Step 3: Cross multiply
    9,669.70x = 13,343.00 × 5,419.78
  4. Step 4: Simplify right side
    9,669.70x = 72,316,064.08
  5. Step 5: Solve for x
    x = 72,316,064.08/9,669.70
  6. Step 6: Final answer
    x = 7,478.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.