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Finding the Fourth Proportional to 35,763.27, 53,638.82 and 9,470.67

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Solution

The fourth proportional to 35,763.27, 53,638.82 and 9,470.67 is: 14,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,763.27 : 53,638.82 = 9,470.67 : x
  2. Step 2: Convert to fraction form
    35,763.27/53,638.82 = 9,470.67/x
  3. Step 3: Cross multiply
    35,763.27x = 53,638.82 × 9,470.67
  4. Step 4: Simplify right side
    35,763.27x = 507,995,403.70
  5. Step 5: Solve for x
    x = 507,995,403.70/35,763.27
  6. Step 6: Final answer
    x = 14,204.39

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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.