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Finding the Fourth Proportional to 9,637.70, 14,456.95 and 3,063.70

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Solution

The fourth proportional to 9,637.70, 14,456.95 and 3,063.70 is: 4,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.70 : 14,456.95 = 3,063.70 : x
  2. Step 2: Convert to fraction form
    9,637.70/14,456.95 = 3,063.70/x
  3. Step 3: Cross multiply
    9,637.70x = 14,456.95 × 3,063.70
  4. Step 4: Simplify right side
    9,637.70x = 44,291,757.72
  5. Step 5: Solve for x
    x = 44,291,757.72/9,637.70
  6. Step 6: Final answer
    x = 4,595.68

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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.