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Finding the Fourth Proportional to 9,677.64, 13,354.83 and 5,428.85

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Solution

The fourth proportional to 9,677.64, 13,354.83 and 5,428.85 is: 7,491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.64 : 13,354.83 = 5,428.85 : x
  2. Step 2: Convert to fraction form
    9,677.64/13,354.83 = 5,428.85/x
  3. Step 3: Cross multiply
    9,677.64x = 13,354.83 × 5,428.85
  4. Step 4: Simplify right side
    9,677.64x = 72,501,368.85
  5. Step 5: Solve for x
    x = 72,501,368.85/9,677.64
  6. Step 6: Final answer
    x = 7,491.64

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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.