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Finding the Fourth Proportional to 9,710.84, 14,562.55 and 3,469.68

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Solution

The fourth proportional to 9,710.84, 14,562.55 and 3,469.68 is: 5,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.84 : 14,562.55 = 3,469.68 : x
  2. Step 2: Convert to fraction form
    9,710.84/14,562.55 = 3,469.68/x
  3. Step 3: Cross multiply
    9,710.84x = 14,562.55 × 3,469.68
  4. Step 4: Simplify right side
    9,710.84x = 50,527,388.48
  5. Step 5: Solve for x
    x = 50,527,388.48/9,710.84
  6. Step 6: Final answer
    x = 5,203.19

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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.