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Finding the Fourth Proportional to 6,352.83, 9,527.45 and 4,009.32

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Solution

The fourth proportional to 6,352.83, 9,527.45 and 4,009.32 is: 6,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.83 : 9,527.45 = 4,009.32 : x
  2. Step 2: Convert to fraction form
    6,352.83/9,527.45 = 4,009.32/x
  3. Step 3: Cross multiply
    6,352.83x = 9,527.45 × 4,009.32
  4. Step 4: Simplify right side
    6,352.83x = 38,198,575.79
  5. Step 5: Solve for x
    x = 38,198,575.79/6,352.83
  6. Step 6: Final answer
    x = 6,012.84

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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.