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Finding the Fourth Proportional to 9,408.70, 14,113.06 and 7,039.24

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Solution

The fourth proportional to 9,408.70, 14,113.06 and 7,039.24 is: 10,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.70 : 14,113.06 = 7,039.24 : x
  2. Step 2: Convert to fraction form
    9,408.70/14,113.06 = 7,039.24/x
  3. Step 3: Cross multiply
    9,408.70x = 14,113.06 × 7,039.24
  4. Step 4: Simplify right side
    9,408.70x = 99,345,216.47
  5. Step 5: Solve for x
    x = 99,345,216.47/9,408.70
  6. Step 6: Final answer
    x = 10,558.87

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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.