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Finding the Fourth Proportional to 6,472.16, 9,707.43 and 2,089.16

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Solution

The fourth proportional to 6,472.16, 9,707.43 and 2,089.16 is: 3,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.16 : 9,707.43 = 2,089.16 : x
  2. Step 2: Convert to fraction form
    6,472.16/9,707.43 = 2,089.16/x
  3. Step 3: Cross multiply
    6,472.16x = 9,707.43 × 2,089.16
  4. Step 4: Simplify right side
    6,472.16x = 20,280,374.46
  5. Step 5: Solve for x
    x = 20,280,374.46/6,472.16
  6. Step 6: Final answer
    x = 3,133.48

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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.