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Finding the Fourth Proportional to 9,781.40, 14,647.05 and 5,393.99

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Solution

The fourth proportional to 9,781.40, 14,647.05 and 5,393.99 is: 8,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.40 : 14,647.05 = 5,393.99 : x
  2. Step 2: Convert to fraction form
    9,781.40/14,647.05 = 5,393.99/x
  3. Step 3: Cross multiply
    9,781.40x = 14,647.05 × 5,393.99
  4. Step 4: Simplify right side
    9,781.40x = 79,005,967.99
  5. Step 5: Solve for x
    x = 79,005,967.99/9,781.40
  6. Step 6: Final answer
    x = 8,077.17

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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.