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Finding the Fourth Proportional to 9,491.95, 14,239.46 and 3,569.30

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Solution

The fourth proportional to 9,491.95, 14,239.46 and 3,569.30 is: 5,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.95 : 14,239.46 = 3,569.30 : x
  2. Step 2: Convert to fraction form
    9,491.95/14,239.46 = 3,569.30/x
  3. Step 3: Cross multiply
    9,491.95x = 14,239.46 × 3,569.30
  4. Step 4: Simplify right side
    9,491.95x = 50,824,895.70
  5. Step 5: Solve for x
    x = 50,824,895.70/9,491.95
  6. Step 6: Final answer
    x = 5,354.53

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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.