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Finding the Fourth Proportional to 6,434.98, 9,645.89 and 4,355.19

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Solution

The fourth proportional to 6,434.98, 9,645.89 and 4,355.19 is: 6,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.98 : 9,645.89 = 4,355.19 : x
  2. Step 2: Convert to fraction form
    6,434.98/9,645.89 = 4,355.19/x
  3. Step 3: Cross multiply
    6,434.98x = 9,645.89 × 4,355.19
  4. Step 4: Simplify right side
    6,434.98x = 42,009,661.89
  5. Step 5: Solve for x
    x = 42,009,661.89/6,434.98
  6. Step 6: Final answer
    x = 6,528.33

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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.