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Finding the Fourth Proportional to 6,548.19, 9,813.60 and 3,430.86

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Solution

The fourth proportional to 6,548.19, 9,813.60 and 3,430.86 is: 5,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.19 : 9,813.60 = 3,430.86 : x
  2. Step 2: Convert to fraction form
    6,548.19/9,813.60 = 3,430.86/x
  3. Step 3: Cross multiply
    6,548.19x = 9,813.60 × 3,430.86
  4. Step 4: Simplify right side
    6,548.19x = 33,669,087.70
  5. Step 5: Solve for x
    x = 33,669,087.70/6,548.19
  6. Step 6: Final answer
    x = 5,141.74

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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.