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Finding the Fourth Proportional to 6,139.32, 9,206.68 and 1,980.40

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Solution

The fourth proportional to 6,139.32, 9,206.68 and 1,980.40 is: 2,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.32 : 9,206.68 = 1,980.40 : x
  2. Step 2: Convert to fraction form
    6,139.32/9,206.68 = 1,980.40/x
  3. Step 3: Cross multiply
    6,139.32x = 9,206.68 × 1,980.40
  4. Step 4: Simplify right side
    6,139.32x = 18,232,909.07
  5. Step 5: Solve for x
    x = 18,232,909.07/6,139.32
  6. Step 6: Final answer
    x = 2,969.86

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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.