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Finding the Fourth Proportional to 9,570.90, 14,348.13 and 3,644.49

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Solution

The fourth proportional to 9,570.90, 14,348.13 and 3,644.49 is: 5,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.90 : 14,348.13 = 3,644.49 : x
  2. Step 2: Convert to fraction form
    9,570.90/14,348.13 = 3,644.49/x
  3. Step 3: Cross multiply
    9,570.90x = 14,348.13 × 3,644.49
  4. Step 4: Simplify right side
    9,570.90x = 52,291,616.30
  5. Step 5: Solve for x
    x = 52,291,616.30/9,570.90
  6. Step 6: Final answer
    x = 5,463.60

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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.