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Finding the Fourth Proportional to 9,285.62, 12,814.28 and 5,094.14

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Solution

The fourth proportional to 9,285.62, 12,814.28 and 5,094.14 is: 7,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.62 : 12,814.28 = 5,094.14 : x
  2. Step 2: Convert to fraction form
    9,285.62/12,814.28 = 5,094.14/x
  3. Step 3: Cross multiply
    9,285.62x = 12,814.28 × 5,094.14
  4. Step 4: Simplify right side
    9,285.62x = 65,277,646.78
  5. Step 5: Solve for x
    x = 65,277,646.78/9,285.62
  6. Step 6: Final answer
    x = 7,029.98

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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.