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Finding the Fourth Proportional to 6,114.15, 9,164.33 and 4,259.64

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Solution

The fourth proportional to 6,114.15, 9,164.33 and 4,259.64 is: 6,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.15 : 9,164.33 = 4,259.64 : x
  2. Step 2: Convert to fraction form
    6,114.15/9,164.33 = 4,259.64/x
  3. Step 3: Cross multiply
    6,114.15x = 9,164.33 × 4,259.64
  4. Step 4: Simplify right side
    6,114.15x = 39,036,718.14
  5. Step 5: Solve for x
    x = 39,036,718.14/6,114.15
  6. Step 6: Final answer
    x = 6,384.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.