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Finding the Fourth Proportional to 9,782.13, 14,671.98 and 3,934.34

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Solution

The fourth proportional to 9,782.13, 14,671.98 and 3,934.34 is: 5,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.13 : 14,671.98 = 3,934.34 : x
  2. Step 2: Convert to fraction form
    9,782.13/14,671.98 = 3,934.34/x
  3. Step 3: Cross multiply
    9,782.13x = 14,671.98 × 3,934.34
  4. Step 4: Simplify right side
    9,782.13x = 57,724,484.43
  5. Step 5: Solve for x
    x = 57,724,484.43/9,782.13
  6. Step 6: Final answer
    x = 5,901.01

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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.