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Finding the Fourth Proportional to 6,403.56, 9,585.90 and 6,189.72

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Solution

The fourth proportional to 6,403.56, 9,585.90 and 6,189.72 is: 9,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.56 : 9,585.90 = 6,189.72 : x
  2. Step 2: Convert to fraction form
    6,403.56/9,585.90 = 6,189.72/x
  3. Step 3: Cross multiply
    6,403.56x = 9,585.90 × 6,189.72
  4. Step 4: Simplify right side
    6,403.56x = 59,334,036.95
  5. Step 5: Solve for x
    x = 59,334,036.95/6,403.56
  6. Step 6: Final answer
    x = 9,265.79

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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.