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Finding the Fourth Proportional to 6,357.03, 9,534.46 and 1,677.09

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Solution

The fourth proportional to 6,357.03, 9,534.46 and 1,677.09 is: 2,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.03 : 9,534.46 = 1,677.09 : x
  2. Step 2: Convert to fraction form
    6,357.03/9,534.46 = 1,677.09/x
  3. Step 3: Cross multiply
    6,357.03x = 9,534.46 × 1,677.09
  4. Step 4: Simplify right side
    6,357.03x = 15,990,138.65
  5. Step 5: Solve for x
    x = 15,990,138.65/6,357.03
  6. Step 6: Final answer
    x = 2,515.35

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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.