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Finding the Fourth Proportional to 6,364.85, 9,530.26 and 3,730.19

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Solution

The fourth proportional to 6,364.85, 9,530.26 and 3,730.19 is: 5,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.85 : 9,530.26 = 3,730.19 : x
  2. Step 2: Convert to fraction form
    6,364.85/9,530.26 = 3,730.19/x
  3. Step 3: Cross multiply
    6,364.85x = 9,530.26 × 3,730.19
  4. Step 4: Simplify right side
    6,364.85x = 35,549,623.57
  5. Step 5: Solve for x
    x = 35,549,623.57/6,364.85
  6. Step 6: Final answer
    x = 5,585.31

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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.