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Finding the Fourth Proportional to 9,781.60, 14,666.94 and 3,207.28

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Solution

The fourth proportional to 9,781.60, 14,666.94 and 3,207.28 is: 4,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.60 : 14,666.94 = 3,207.28 : x
  2. Step 2: Convert to fraction form
    9,781.60/14,666.94 = 3,207.28/x
  3. Step 3: Cross multiply
    9,781.60x = 14,666.94 × 3,207.28
  4. Step 4: Simplify right side
    9,781.60x = 47,040,983.32
  5. Step 5: Solve for x
    x = 47,040,983.32/9,781.60
  6. Step 6: Final answer
    x = 4,809.13

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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.