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Finding the Fourth Proportional to 9,569.45, 14,354.90 and 2,549.44

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Solution

The fourth proportional to 9,569.45, 14,354.90 and 2,549.44 is: 3,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.45 : 14,354.90 = 2,549.44 : x
  2. Step 2: Convert to fraction form
    9,569.45/14,354.90 = 2,549.44/x
  3. Step 3: Cross multiply
    9,569.45x = 14,354.90 × 2,549.44
  4. Step 4: Simplify right side
    9,569.45x = 36,596,956.26
  5. Step 5: Solve for x
    x = 36,596,956.26/9,569.45
  6. Step 6: Final answer
    x = 3,824.35

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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.