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Finding the Fourth Proportional to 9,495.75, 13,093.47 and 6,134.13

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Solution

The fourth proportional to 9,495.75, 13,093.47 and 6,134.13 is: 8,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.75 : 13,093.47 = 6,134.13 : x
  2. Step 2: Convert to fraction form
    9,495.75/13,093.47 = 6,134.13/x
  3. Step 3: Cross multiply
    9,495.75x = 13,093.47 × 6,134.13
  4. Step 4: Simplify right side
    9,495.75x = 80,317,047.13
  5. Step 5: Solve for x
    x = 80,317,047.13/9,495.75
  6. Step 6: Final answer
    x = 8,458.21

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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.