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Finding the Fourth Proportional to 9,134.78, 12,606.23 and 5,156.26

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Solution

The fourth proportional to 9,134.78, 12,606.23 and 5,156.26 is: 7,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.78 : 12,606.23 = 5,156.26 : x
  2. Step 2: Convert to fraction form
    9,134.78/12,606.23 = 5,156.26/x
  3. Step 3: Cross multiply
    9,134.78x = 12,606.23 × 5,156.26
  4. Step 4: Simplify right side
    9,134.78x = 65,000,980.87
  5. Step 5: Solve for x
    x = 65,000,980.87/9,134.78
  6. Step 6: Final answer
    x = 7,115.77

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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.