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Finding the Fourth Proportional to 6,400.67, 9,595.53 and 4,204.58

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Solution

The fourth proportional to 6,400.67, 9,595.53 and 4,204.58 is: 6,303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.67 : 9,595.53 = 4,204.58 : x
  2. Step 2: Convert to fraction form
    6,400.67/9,595.53 = 4,204.58/x
  3. Step 3: Cross multiply
    6,400.67x = 9,595.53 × 4,204.58
  4. Step 4: Simplify right side
    6,400.67x = 40,345,125.55
  5. Step 5: Solve for x
    x = 40,345,125.55/6,400.67
  6. Step 6: Final answer
    x = 6,303.27

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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.