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Finding the Fourth Proportional to 9,285.61, 12,814.96 and 5,094.67

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Solution

The fourth proportional to 9,285.61, 12,814.96 and 5,094.67 is: 7,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.61 : 12,814.96 = 5,094.67 : x
  2. Step 2: Convert to fraction form
    9,285.61/12,814.96 = 5,094.67/x
  3. Step 3: Cross multiply
    9,285.61x = 12,814.96 × 5,094.67
  4. Step 4: Simplify right side
    9,285.61x = 65,287,992.26
  5. Step 5: Solve for x
    x = 65,287,992.26/9,285.61
  6. Step 6: Final answer
    x = 7,031.09

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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.