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Finding the Fourth Proportional to 9,694.06, 13,368.18 and 6,155.98

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Solution

The fourth proportional to 9,694.06, 13,368.18 and 6,155.98 is: 8,489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.06 : 13,368.18 = 6,155.98 : x
  2. Step 2: Convert to fraction form
    9,694.06/13,368.18 = 6,155.98/x
  3. Step 3: Cross multiply
    9,694.06x = 13,368.18 × 6,155.98
  4. Step 4: Simplify right side
    9,694.06x = 82,294,248.72
  5. Step 5: Solve for x
    x = 82,294,248.72/9,694.06
  6. Step 6: Final answer
    x = 8,489.14

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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.