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Finding the Fourth Proportional to 6,472.04, 9,707.99 and 2,089.40

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Solution

The fourth proportional to 6,472.04, 9,707.99 and 2,089.40 is: 3,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.04 : 9,707.99 = 2,089.40 : x
  2. Step 2: Convert to fraction form
    6,472.04/9,707.99 = 2,089.40/x
  3. Step 3: Cross multiply
    6,472.04x = 9,707.99 × 2,089.40
  4. Step 4: Simplify right side
    6,472.04x = 20,283,815.32
  5. Step 5: Solve for x
    x = 20,283,815.32/6,472.04
  6. Step 6: Final answer
    x = 3,134.07

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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.