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Finding the Fourth Proportional to 9,165.50, 12,656.14 and 5,814.26

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Solution

The fourth proportional to 9,165.50, 12,656.14 and 5,814.26 is: 8,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.50 : 12,656.14 = 5,814.26 : x
  2. Step 2: Convert to fraction form
    9,165.50/12,656.14 = 5,814.26/x
  3. Step 3: Cross multiply
    9,165.50x = 12,656.14 × 5,814.26
  4. Step 4: Simplify right side
    9,165.50x = 73,586,088.56
  5. Step 5: Solve for x
    x = 73,586,088.56/9,165.50
  6. Step 6: Final answer
    x = 8,028.60

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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.