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Finding the Fourth Proportional to 6,100.59, 9,133.59 and 4,014.32

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Solution

The fourth proportional to 6,100.59, 9,133.59 and 4,014.32 is: 6,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.59 : 9,133.59 = 4,014.32 : x
  2. Step 2: Convert to fraction form
    6,100.59/9,133.59 = 4,014.32/x
  3. Step 3: Cross multiply
    6,100.59x = 9,133.59 × 4,014.32
  4. Step 4: Simplify right side
    6,100.59x = 36,665,153.01
  5. Step 5: Solve for x
    x = 36,665,153.01/6,100.59
  6. Step 6: Final answer
    x = 6,010.10

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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.