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Finding the Fourth Proportional to 9,373.30, 12,934 and 5,181.54

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Solution

The fourth proportional to 9,373.30, 12,934 and 5,181.54 is: 7,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,373.30 : 12,934 = 5,181.54 : x
  2. Step 2: Convert to fraction form
    9,373.30/12,934 = 5,181.54/x
  3. Step 3: Cross multiply
    9,373.30x = 12,934 × 5,181.54
  4. Step 4: Simplify right side
    9,373.30x = 67,018,038.36
  5. Step 5: Solve for x
    x = 67,018,038.36/9,373.30
  6. Step 6: Final answer
    x = 7,149.89

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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.