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Finding the Fourth Proportional to 9,165.27, 12,653.81 and 6,298.94

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Solution

The fourth proportional to 9,165.27, 12,653.81 and 6,298.94 is: 8,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.27 : 12,653.81 = 6,298.94 : x
  2. Step 2: Convert to fraction form
    9,165.27/12,653.81 = 6,298.94/x
  3. Step 3: Cross multiply
    9,165.27x = 12,653.81 × 6,298.94
  4. Step 4: Simplify right side
    9,165.27x = 79,705,495.20
  5. Step 5: Solve for x
    x = 79,705,495.20/9,165.27
  6. Step 6: Final answer
    x = 8,696.47

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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.