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Finding the Fourth Proportional to 6,139.32, 9,210.26 and 2,035

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Solution

The fourth proportional to 6,139.32, 9,210.26 and 2,035 is: 3,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.32 : 9,210.26 = 2,035 : x
  2. Step 2: Convert to fraction form
    6,139.32/9,210.26 = 2,035/x
  3. Step 3: Cross multiply
    6,139.32x = 9,210.26 × 2,035
  4. Step 4: Simplify right side
    6,139.32x = 18,742,879.10
  5. Step 5: Solve for x
    x = 18,742,879.10/6,139.32
  6. Step 6: Final answer
    x = 3,052.92

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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.