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Finding the Fourth Proportional to 9,726.00, 14,567.11 and 6,817.29

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Solution

The fourth proportional to 9,726.00, 14,567.11 and 6,817.29 is: 10,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.00 : 14,567.11 = 6,817.29 : x
  2. Step 2: Convert to fraction form
    9,726.00/14,567.11 = 6,817.29/x
  3. Step 3: Cross multiply
    9,726.00x = 14,567.11 × 6,817.29
  4. Step 4: Simplify right side
    9,726.00x = 99,308,149.02
  5. Step 5: Solve for x
    x = 99,308,149.02/9,726.00
  6. Step 6: Final answer
    x = 10,210.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.