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Finding the Fourth Proportional to 9,471.64, 13,068.22 and 6,114.58

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Solution

The fourth proportional to 9,471.64, 13,068.22 and 6,114.58 is: 8,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.64 : 13,068.22 = 6,114.58 : x
  2. Step 2: Convert to fraction form
    9,471.64/13,068.22 = 6,114.58/x
  3. Step 3: Cross multiply
    9,471.64x = 13,068.22 × 6,114.58
  4. Step 4: Simplify right side
    9,471.64x = 79,906,676.65
  5. Step 5: Solve for x
    x = 79,906,676.65/9,471.64
  6. Step 6: Final answer
    x = 8,436.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.