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Finding the Fourth Proportional to 9,677.91, 13,355.04 and 5,428.44

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Solution

The fourth proportional to 9,677.91, 13,355.04 and 5,428.44 is: 7,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.91 : 13,355.04 = 5,428.44 : x
  2. Step 2: Convert to fraction form
    9,677.91/13,355.04 = 5,428.44/x
  3. Step 3: Cross multiply
    9,677.91x = 13,355.04 × 5,428.44
  4. Step 4: Simplify right side
    9,677.91x = 72,497,033.34
  5. Step 5: Solve for x
    x = 72,497,033.34/9,677.91
  6. Step 6: Final answer
    x = 7,490.98

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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.