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Finding the Fourth Proportional to 6,111.96, 9,165.61 and 2,599.77

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Solution

The fourth proportional to 6,111.96, 9,165.61 and 2,599.77 is: 3,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.96 : 9,165.61 = 2,599.77 : x
  2. Step 2: Convert to fraction form
    6,111.96/9,165.61 = 2,599.77/x
  3. Step 3: Cross multiply
    6,111.96x = 9,165.61 × 2,599.77
  4. Step 4: Simplify right side
    6,111.96x = 23,828,475.13
  5. Step 5: Solve for x
    x = 23,828,475.13/6,111.96
  6. Step 6: Final answer
    x = 3,898.67

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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.