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Finding the Fourth Proportional to 6,402.26, 9,595.19 and 4,938.35

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Solution

The fourth proportional to 6,402.26, 9,595.19 and 4,938.35 is: 7,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.26 : 9,595.19 = 4,938.35 : x
  2. Step 2: Convert to fraction form
    6,402.26/9,595.19 = 4,938.35/x
  3. Step 3: Cross multiply
    6,402.26x = 9,595.19 × 4,938.35
  4. Step 4: Simplify right side
    6,402.26x = 47,384,370.91
  5. Step 5: Solve for x
    x = 47,384,370.91/6,402.26
  6. Step 6: Final answer
    x = 7,401.19

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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.