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Finding the Fourth Proportional to 9,822.72, 14,735.72 and 4,555.59

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Solution

The fourth proportional to 9,822.72, 14,735.72 and 4,555.59 is: 6,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.72 : 14,735.72 = 4,555.59 : x
  2. Step 2: Convert to fraction form
    9,822.72/14,735.72 = 4,555.59/x
  3. Step 3: Cross multiply
    9,822.72x = 14,735.72 × 4,555.59
  4. Step 4: Simplify right side
    9,822.72x = 67,129,937.69
  5. Step 5: Solve for x
    x = 67,129,937.69/9,822.72
  6. Step 6: Final answer
    x = 6,834.15

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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.