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Finding the Fourth Proportional to 9,491.90, 14,237.87 and 4,294.13

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Solution

The fourth proportional to 9,491.90, 14,237.87 and 4,294.13 is: 6,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.90 : 14,237.87 = 4,294.13 : x
  2. Step 2: Convert to fraction form
    9,491.90/14,237.87 = 4,294.13/x
  3. Step 3: Cross multiply
    9,491.90x = 14,237.87 × 4,294.13
  4. Step 4: Simplify right side
    9,491.90x = 61,139,172.04
  5. Step 5: Solve for x
    x = 61,139,172.04/9,491.90
  6. Step 6: Final answer
    x = 6,441.20

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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.