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Finding the Fourth Proportional to 9,491.40, 14,237.42 and 4,560.03

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Solution

The fourth proportional to 9,491.40, 14,237.42 and 4,560.03 is: 6,840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.40 : 14,237.42 = 4,560.03 : x
  2. Step 2: Convert to fraction form
    9,491.40/14,237.42 = 4,560.03/x
  3. Step 3: Cross multiply
    9,491.40x = 14,237.42 × 4,560.03
  4. Step 4: Simplify right side
    9,491.40x = 64,923,039.52
  5. Step 5: Solve for x
    x = 64,923,039.52/9,491.40
  6. Step 6: Final answer
    x = 6,840.20

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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.