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Finding the Fourth Proportional to 10,204.61, 14,087.73 and 6,864.99

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Solution

The fourth proportional to 10,204.61, 14,087.73 and 6,864.99 is: 9,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.61 : 14,087.73 = 6,864.99 : x
  2. Step 2: Convert to fraction form
    10,204.61/14,087.73 = 6,864.99/x
  3. Step 3: Cross multiply
    10,204.61x = 14,087.73 × 6,864.99
  4. Step 4: Simplify right side
    10,204.61x = 96,712,091.25
  5. Step 5: Solve for x
    x = 96,712,091.25/10,204.61
  6. Step 6: Final answer
    x = 9,477.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.