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Finding the Fourth Proportional to 9,477.09, 14,195.13 and 6,180.19

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Solution

The fourth proportional to 9,477.09, 14,195.13 and 6,180.19 is: 9,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.09 : 14,195.13 = 6,180.19 : x
  2. Step 2: Convert to fraction form
    9,477.09/14,195.13 = 6,180.19/x
  3. Step 3: Cross multiply
    9,477.09x = 14,195.13 × 6,180.19
  4. Step 4: Simplify right side
    9,477.09x = 87,728,600.47
  5. Step 5: Solve for x
    x = 87,728,600.47/9,477.09
  6. Step 6: Final answer
    x = 9,256.91

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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.