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Finding the Fourth Proportional to 10,781.84, 14,846.28 and 9,206.48

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Solution

The fourth proportional to 10,781.84, 14,846.28 and 9,206.48 is: 12,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.84 : 14,846.28 = 9,206.48 : x
  2. Step 2: Convert to fraction form
    10,781.84/14,846.28 = 9,206.48/x
  3. Step 3: Cross multiply
    10,781.84x = 14,846.28 × 9,206.48
  4. Step 4: Simplify right side
    10,781.84x = 136,681,979.89
  5. Step 5: Solve for x
    x = 136,681,979.89/10,781.84
  6. Step 6: Final answer
    x = 12,677.06

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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.