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Finding the Fourth Proportional to 9,180.63, 13,749.06 and 5,014.41

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Solution

The fourth proportional to 9,180.63, 13,749.06 and 5,014.41 is: 7,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.63 : 13,749.06 = 5,014.41 : x
  2. Step 2: Convert to fraction form
    9,180.63/13,749.06 = 5,014.41/x
  3. Step 3: Cross multiply
    9,180.63x = 13,749.06 × 5,014.41
  4. Step 4: Simplify right side
    9,180.63x = 68,943,423.95
  5. Step 5: Solve for x
    x = 68,943,423.95/9,180.63
  6. Step 6: Final answer
    x = 7,509.66

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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.